Solve each of the number sentences and describe the pattern

Question

90% of what number is 90?

80% of what number is 80?

274% of what number is 274?

Answer 1

To solve each equation, divide the given number by the percentage expressed as a decimal.

90 / .0.90 = 100

80 / 0.8 = 100

274 / 2.74 = 100

Answer 2

When solving for percents, I like to use a simple equation

Initial number × (decimal form of the percent) = final number

So, let's use this simple percent equation to solve for the first question

1) 90% of what number is 90?

The decimal form of the percent is 0.9, the final number is 90, and we are solving for the initial number. So,

N (0.9) = 90

N = 100

2) 80% of what number is 80?

The decimal form of the percent is 0.8, the final number is 80, and we are solving for the initial number. So,

N (0.8) = 80

N = 100

3) 274% of what number is 274?

The decimal form of the percent is 2.74, the final number is 274, and we are solving for the initial number. So,

N (2.74) = 274

N = 100

Now the question also asks what the pattern is from these three equations. We can see that the pattern is when you divide by a percent (put into decimal format) that is of the same value as the numerator, you receive 100 as your answer. Pretty cool!

Answer 3

See the videa.

Answer 4

0.90x = 90

Think x = (90 * 100) / 90

x = 100

Next 2 the same way