Question : 215 is what percent of 410? Or, What percent of 410 is equal to 215?
Correct Answer 52.44%
Solution & Explanation
Solution
Given number = 410
To find, 215 is what percent of 410?
This question can be written as also
What percent of 410 is equal to 215?
⇒ ?% of 410 = 215
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 410 = 215
⇒ m% × 410 = 215
⇒ m/100 × 410 = 215
⇒ 410 m/100 = 215
After cross multiplication, we get
410 m = 215 × 100
After transposing 410 to RHS, we get
m = 215 × 100/410
⇒ m = 21500/410
⇒ m = 52.44%
Thus, 52.44% of 410 = 215
Thus, Answer = 52.44%
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 410 = 215
Here, we have ? = m
a = 410
And, b = 215
Thus, using formula
⇒ m = 215 × 100/410
= 215 × 100/410
= 21500/410 = 52.44%
Thus, 52.44% of 410 = 215
Thus, 52.44% Answer
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