Question : 150 is what percent of 280? Or, What percent of 280 is equal to 150?
Correct Answer 53.57%
Solution & Explanation
Solution
Given number = 280
To find, 150 is what percent of 280?
This question can be written as also
What percent of 280 is equal to 150?
⇒ ?% of 280 = 150
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 280 = 150
⇒ m% × 280 = 150
⇒ m/100 × 280 = 150
⇒ 280 m/100 = 150
After cross multiplication, we get
280 m = 150 × 100
After transposing 280 to RHS, we get
m = 150 × 100/280
⇒ m = 15000/280
⇒ m = 53.57%
Thus, 53.57% of 280 = 150
Thus, Answer = 53.57%
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 280 = 150
Here, we have ? = m
a = 280
And, b = 150
Thus, using formula
⇒ m = 150 × 100/280
= 150 × 100/280
= 15000/280 = 53.57%
Thus, 53.57% of 280 = 150
Thus, 53.57% Answer
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