Question : 245 is what percent of 470? Or, What percent of 470 is equal to 245?
Correct Answer 52.13%
Solution & Explanation
Solution
Given number = 470
To find, 245 is what percent of 470?
This question can be written as also
What percent of 470 is equal to 245?
⇒ ?% of 470 = 245
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 470 = 245
⇒ m% × 470 = 245
⇒ m/100 × 470 = 245
⇒ 470 m/100 = 245
After cross multiplication, we get
470 m = 245 × 100
After transposing 470 to RHS, we get
m = 245 × 100/470
⇒ m = 24500/470
⇒ m = 52.13%
Thus, 52.13% of 470 = 245
Thus, Answer = 52.13%
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 470 = 245
Here, we have ? = m
a = 470
And, b = 245
Thus, using formula
⇒ m = 245 × 100/470
= 245 × 100/470
= 24500/470 = 52.13%
Thus, 52.13% of 470 = 245
Thus, 52.13% Answer
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