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Solve to find the whole in each problem.

1. 20% of what number is 5%
2. 15% of what number is 21?
3. 35% of what number is 91?
4. 50% of what number is 75?
5. 78 is 65% of what number?
6. 102 is 85% of what number?
7. 200% of what number is 30?
8. 150 is 75% of what number?
Critical Thinking
At A&B Emporium, 50% of the employees take the bus to get to work. Every day 100 employees work at Glow Emporium? Show your work.

1 Answer

3 votes

Answer:

Find the Answer in the work.

Explanation:

Here are the solutions to your percentage problems:

1.

20% of what number is 5%?

Let's call the number we're looking for "x". We can set up an equation like this:

20% * x = 5%

To solve for x, we can divide both sides by 20% (or 0.2):

x = 5% / 20%

x = 0.25

2.

15% of what number is 21?

Let's call the number we're looking for "x". We can set up an equation like this:

15% * x = 21

To solve for x, we can divide both sides by 15% (or 0.15):

x = 21 / 15%

x = 140

3.

35% of what number is 91?

Let's call the number we're looking for "x". We can set up an equation like this:

35% * x = 91

To solve for x, we can divide both sides by 35% (or 0.35):

x = 91 / 35%

x = 260

4.

50% of what number is 75?

Let's call the number we're looking for "x". We can set up an equation like this:

50% * x = 75

To solve for x, we can divide both sides by 50% (or 0.5):

x = 75 / 50%

x = 150

5.

What number is equal to 65% of 78?

Let's call the number we're looking for "x". We can set up an equation like this:

x = 65% * 78

To solve for x, we can multiply both sides by (or convert) to decimal form:

x = (65 /100) *78

x = (0.65) *78

x =50.7

6.

What number is equal to85% of102?

Let's call the number we're looking for "x". We can set up an equation like this:

x =85% *102

To solve for x, we can multiply both sides by (or convert) to decimal form:

x =(85/100)*102

x =(0.85)*102

x =86.7

7.

What number is equal to200% of30?

Let's call the number we're looking for "x". We can set up an equation like this:

200% *x=30

To solve for x, we can divide both sides by200%(or2):

x=30/200%

x=15

8.

What number is equal to75% of150?

Let's call the number we're looking for "x". We can set up an equation like this:

75% *x=150

To solve for x, we can divide both sides by75%(or0.75):

x=150/75%

x=200

Critical Thinking

At A&B Emporium,50% of the employees take the bus to get to work.Every day100 employees work at Glow Emporium? Show your work.

There are different ways to approach this problem but one possible method is:

• Calculate how many employees take the bus:

50/100 *100=50 employees take the bus.

• Calculate how many employees don't take the bus:

100-50=50 employees don't take the bus.

Therefore, at A&B

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