Question : 240 is what percent of 460? Or, What percent of 460 is equal to 240?
Correct Answer 52.17%
Solution & Explanation
Solution
Given number = 460
To find, 240 is what percent of 460?
This question can be written as also
What percent of 460 is equal to 240?
⇒ ?% of 460 = 240
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 460 = 240
⇒ m% × 460 = 240
⇒ m/100 × 460 = 240
⇒ 460 m/100 = 240
After cross multiplication, we get
460 m = 240 × 100
After transposing 460 to RHS, we get
m = 240 × 100/460
⇒ m = 24000/460
⇒ m = 52.17%
Thus, 52.17% of 460 = 240
Thus, Answer = 52.17%
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 460 = 240
Here, we have ? = m
a = 460
And, b = 240
Thus, using formula
⇒ m = 240 × 100/460
= 240 × 100/460
= 24000/460 = 52.17%
Thus, 52.17% of 460 = 240
Thus, 52.17% Answer
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