1!
Here is a problem: 9 is 25% of what number? !
First, letʼs look at the percent.!
25% is equal to 25 hundredths.!
We also know that 25 hundredths is equal to one fourth.!
So, instead of writing, “9 is 25% of what number?” …!
… letʼs write “9 is one fourth of what number?”!
Here is a rectangle. This represents the missing number we are trying to find.!
This is one fourth of the missing number.!
We already know that one fourth of the missing number is 9. !
If one fourth is equal to 9, every other fourth must also be equal to 9.!
Letʼs write “9” in each of the fourths.!
Now, what is the sum of all the fourths?!
36!
So, 9 is 25% of 36.!
2!
Here is another problem: 15 is 25% of what number? !
First, letʼs look at the percent.!
25% is equal to 25 hundredths.!
We also know that 25 hundredths is equal to one fourth.!
So, instead of writing “15 is 25% of what number?” …!
… letʼs write “15 is one fourth of what number?”!
Here is a rectangle. This represents the missing number we are trying to find.!
This is one fourth of the missing number.!
We already know that one fourth of the missing number is 15. !
If one fourth is equal to 15, every other fourth must also be equal to 15.!
Letʼs write “15” in each of the fourths.!
Now, what is the sum of all the fourths?!
60!
So, 15 is 25% of 60.!
3!
Here is another problem: 14 is 50% of what number? !
First, letʼs look at the percent.!
50% is equal to 50 hundredths.!
We also know that 50 hundredths is equal to one half.!
So, instead of writing “14 is 50% of what number?” …!
… letʼs write “14 is one half of what number?”!
Here is a rectangle. This represents the missing number we are trying to find.!
This is one half of the missing number.!
We already know that one half of the missing number is 14. !
If one half is equal to 14, the other half must also be equal to 14.!
Letʼs write “14” in the other half.!
Now, what is the sum of the whole number?!
28!
So, 14 is 50% of 28.!
4!
Letʼs solve this problem: 73 is 50% of what number?!
First, letʼs look at the percent.!
50% is equal to 50 hundredths.!
We also know that 50 hundredths is equal to one half.!
So, instead of writing “73 is 50% of what number?” …!
… letʼs write “73 is one half of what number?”!
Here is a rectangle. This represents the missing number we are trying to find.!
This is one half of the missing number.!
We already know that one half of the missing number is 73. !
If one half is equal to 73, the other half must also be equal to 73.!
Letʼs write “73” in the other half.!
Now, what is the sum of the whole number?!
146!
So, 73 is 50% of 146.!
5!
Letʼs solve this problem: 7 is 20% of what number? !
First, letʼs look at the percent.!
20% is equal to 20 hundredths.!
We also know that 20 hundredths is equal to one fifth.!
So, instead of writing “7 is 20% of what number?” …!
… letʼs write “7 is one fifth of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is one fifth of the missing number.!
We already know that one fifth of the missing number is 7. !
If one fifth is equal to 7, every other fifth must also be equal to 7.!
Letʼs write “7” in each of the fifths.!
Now, what is the sum of all the fifths?!
35!
So, 7 is 20% of 35.!
6!
Letʼs solve this problem: 30 is 20% of what number? !
First, letʼs look at the percent.!
20% is equal to 20 hundredths.!
We also know that 20 hundredths is equal to one fifth.!
So, instead of writing “30 is 20% of what number?” …!
… letʼs write “30 is one fifth of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is one fifth of the missing number.!
We already know that one fifth of the missing number is 30. !
If one fifth is equal to 30, every other fifth is also equal to 30.!
Letʼs write “30” in each of the fifths.!
Now, what is the sum of all the fifths?!
150!
So, 30 is 20% of 150.!
7!
Here is a new problem: 21 is 75% of what number?!
First, letʼs look at the percent.!
75% is equal to 75 hundredths.!
We also know that 75 hundredths is equal to three fourths.!
So, instead of writing “21 is 75% of what number?” …!
… letʼs write “21 is three fourths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is three fourths of the missing number.!
If three fourths of the missing number is 21, how much is one fourth? !
21 divided by 3 is 7. So, each fourth is equal to 7.!
Now, we are ready to solve for the whole number.!
Letʼs write “7” in each of the fourths.!
Now, what is the sum of all the fourths?!
28!
So, 21 is 75% of 28.!
8!
Here is another problem: 60 is 75% of what number?!
First, letʼs look at the percent.!
75% is equal to 75 hundredths.!
We also know that 75 hundredths is equal to three fourths.!
So, instead of writing “60 is 75% of what number?” …!
… letʼs write “60 is three fourths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is three fourths of the missing number.!
If three fourths of the missing number is 60, how much is one fourth? !
60 divided by 3 is 20. So, each fourth is equal to 20.!
Now, we are ready to solve for the whole number.!
Letʼs write “20” in each of the fourths.!
Now, what is the sum of all the fourths?!
80!
So, 60 is 75% of 80.!
9!
Letʼs solve this problem: 8 is 40% of what number? !
First, letʼs look at the percent.!
40% is equal to 40 hundredths.!
We also know that 40 hundredths is equal to two fifths.!
So, instead of writing “8 is 40% of what number?” …!
… letʼs write “8 is two fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is two fifths of the missing number.!
If two fifths of the missing number is 8, how much is one fifth? !
8 divided by 2 is 4. So, each fifth is equal to 4.!
Now, we are ready to solve for the whole number.!
Letʼs write “4” in each of the fifths.!
Now, what is the sum of all the fifths?!
20!
So, 8 is 40% of 20.!
10!
62 is 40% of what number? First, letʼs look at the percent.!
40% is equal to 40 hundredths.!
We also know that 40 hundredths is equal to two fifths.!
So, instead of writing “62 is 40% of what number?” …!
… letʼs write “62 is two fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is two fifths of the missing number.!
If two fifths of the missing number is 62, how much is one fifth? !
62 divided by 2 is 31. So, each fifth is equal to 31.!
Now, we are ready to solve for the whole number.!
Letʼs write “31” in each of the fifths.!
Now, what is the sum of all the fifths?!
155!
So, 62 is 40% of 155.!
11!
27 is 60% of what number? !
First, letʼs look at the percent.!
60% is equal to 60 hundredths.!
We also know that 60 hundredths is equal to three fifths.!
So, instead of writing “27 is 60% of what number?” …!
… letʼs write “27 is three fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is three fifths of the missing number.!
If three fifths of the missing number is 27, how much is one fifth? !
27 divided by 3 is 9. So, each fifth is equal to 9.!
Now, we are ready to solve for the whole number.!
Letʼs write “9” in each of the fifths.!
Now, what is the sum of all the fifths?!
45!
So, 27 is 60% of 45.!
12!
150 is 60% of what number?!
First, letʼs look at the percent.!
60% is equal to 60 hundredths.!
We also know that 60 hundredths is equal to three fifths.!
So, instead of writing “150 is 60% of what number?” …!
… letʼs write “150 is three fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
This is three fifths of the missing number.!
If three fifths of the missing number is 150, how much is one fifth? !
150 divided by 3 is 50. So, each fifth is equal to 50.!
Now, we are ready to solve for the whole number.!
Letʼs write “50” in each of the fifths.!
Now, what is the sum of all the fifths?!
250!
So, 150 is 60% of 250.!
13!
12 is 80% of what number? !
First, letʼs look at the percent.!
80% is equal to 80 hundredths.!
We also know that 80 hundredths is equal to four fifths.!
So, instead of writing “12 is 80% of what number?” …!
… letʼs write “12 is four fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
If four fifths of the missing number is 12, how much is one fifth? !
12 divided by 4 is 3. So, each fifth is equal to 3.!
Now, we are ready to solve for the whole number.!
Letʼs write “3” in each of the fifths.!
Now, what is the sum of all the fifths?!
15!
So, 12 is 80% of 15.!
14!
15!
100 is 80% of what number? First, letʼs look at the percent.!
80% is equal to 80 hundredths.!
We also know that 80 hundredths is equal to four fifths.!
So, instead of writing “100 is 80% of what number?” …!
… letʼs write “100 is four fifths of what number?”!
Here is a rectangle to represent the missing number we are trying to find.!
If four fifths of the missing number is 100, how much is one fifth? !
100 divided by 4 is 25. So, each fifth is equal to 25.!
Now, we are ready to solve for the whole number.!
Letʼs write “25” in each of the fifths.!
Now, what is the sum of all the fifths?!
125!
So, 100 is 80% of 125.!
16!