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Percentage
Math MCQs


Question :    55 is what percent of 90? Or, What percent of 90 is equal to 55?


Correct Answer  61.11%

Solution & Explanation

Solution

Given number = 90

To find, 55 is what percent of 90?

This question can be written as also

What percent of 90 is equal to 55?

⇒ ?% of 90 = 55

Let ? = m

And the meaning of "of" in mathematics is "Multiplication".

∴ m% of 90 = 55

⇒ m% × 90 = 55

m/100 × 90 = 55

90 m/100 = 55

After cross multiplication, we get

90 m = 55 × 100

After transposing 90 to RHS, we get

m = 55 × 100/90

⇒ m = 5500/90

⇒ m = 61.11%

Thus, 61.11% of 90 = 55

Thus, Answer = 61.11%

Shortcut Method to find a number is what percent of other

If we have to find

? % of a = b

Here, let ? = m

Thus, above expression can be written as

m% of a = b

m/100 × a = b

m × a/100 = b

After cross multiplication, we get

m × a = b × 100

⇒ m = b × 100/a

Thus, using this formula, we can find a number (a) is what (m) percent of b

In the question, we have to find what percent of 90 = 55

Here, we have ? = m

a = 90

And, b = 55

Thus, using formula

⇒ m = 55 × 100/90

= 55 × 100/90

= 5500/90 = 61.11%

Thus, 61.11% of 90 = 55

Thus, 61.11% Answer


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