Question : 115 is what percent of 210? Or, What percent of 210 is equal to 115?
Correct Answer 54.76%
Solution & Explanation
Solution
Given number = 210
To find, 115 is what percent of 210?
This question can be written as also
What percent of 210 is equal to 115?
⇒ ?% of 210 = 115
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 210 = 115
⇒ m% × 210 = 115
⇒ m/100 × 210 = 115
⇒ 210 m/100 = 115
After cross multiplication, we get
210 m = 115 × 100
After transposing 210 to RHS, we get
m = 115 × 100/210
⇒ m = 11500/210
⇒ m = 54.76%
Thus, 54.76% of 210 = 115
Thus, Answer = 54.76%
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 210 = 115
Here, we have ? = m
a = 210
And, b = 115
Thus, using formula
⇒ m = 115 × 100/210
= 115 × 100/210
= 11500/210 = 54.76%
Thus, 54.76% of 210 = 115
Thus, 54.76% Answer
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