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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