Question : 135 is what percent of 250? Or, What percent of 250 is equal to 135?
Correct Answer 54%
Solution & Explanation
Solution
Given number = 250
To find, 135 is what percent of 250?
This question can be written as also
What percent of 250 is equal to 135?
⇒ ?% of 250 = 135
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 250 = 135
⇒ m% × 250 = 135
⇒ m/100 × 250 = 135
⇒ 250 m/100 = 135
After cross multiplication, we get
250 m = 135 × 100
After transposing 250 to RHS, we get
m = 135 × 100/250
⇒ m = 13500/250
⇒ m = 54%
Thus, 54% of 250 = 135
Thus, Answer = 54%
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 250 = 135
Here, we have ? = m
a = 250
And, b = 135
Thus, using formula
⇒ m = 135 × 100/250
= 135 × 100/250
= 13500/250 = 54%
Thus, 54% of 250 = 135
Thus, 54% Answer
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