Question : 75 is what percent of 130? Or, What percent of 130 is equal to 75?
Correct Answer 57.69%
Solution & Explanation
Solution
Given number = 130
To find, 75 is what percent of 130?
This question can be written as also
What percent of 130 is equal to 75?
⇒ ?% of 130 = 75
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 130 = 75
⇒ m% × 130 = 75
⇒ m/100 × 130 = 75
⇒ 130 m/100 = 75
After cross multiplication, we get
130 m = 75 × 100
After transposing 130 to RHS, we get
m = 75 × 100/130
⇒ m = 7500/130
⇒ m = 57.69%
Thus, 57.69% of 130 = 75
Thus, Answer = 57.69%
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 130 = 75
Here, we have ? = m
a = 130
And, b = 75
Thus, using formula
⇒ m = 75 × 100/130
= 75 × 100/130
= 7500/130 = 57.69%
Thus, 57.69% of 130 = 75
Thus, 57.69% Answer
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