Question : 130 is what percent of 240? Or, What percent of 240 is equal to 130?
Correct Answer 54.17%
Solution & Explanation
Solution
Given number = 240
To find, 130 is what percent of 240?
This question can be written as also
What percent of 240 is equal to 130?
⇒ ?% of 240 = 130
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 240 = 130
⇒ m% × 240 = 130
⇒ m/100 × 240 = 130
⇒ 240 m/100 = 130
After cross multiplication, we get
240 m = 130 × 100
After transposing 240 to RHS, we get
m = 130 × 100/240
⇒ m = 13000/240
⇒ m = 54.17%
Thus, 54.17% of 240 = 130
Thus, Answer = 54.17%
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 240 = 130
Here, we have ? = m
a = 240
And, b = 130
Thus, using formula
⇒ m = 130 × 100/240
= 130 × 100/240
= 13000/240 = 54.17%
Thus, 54.17% of 240 = 130
Thus, 54.17% Answer
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