Question : 85 is what percent of 150? Or, What percent of 150 is equal to 85?
Correct Answer 56.67%
Solution & Explanation
Solution
Given number = 150
To find, 85 is what percent of 150?
This question can be written as also
What percent of 150 is equal to 85?
⇒ ?% of 150 = 85
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 150 = 85
⇒ m% × 150 = 85
⇒ m/100 × 150 = 85
⇒ 150 m/100 = 85
After cross multiplication, we get
150 m = 85 × 100
After transposing 150 to RHS, we get
m = 85 × 100/150
⇒ m = 8500/150
⇒ m = 56.67%
Thus, 56.67% of 150 = 85
Thus, Answer = 56.67%
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 150 = 85
Here, we have ? = m
a = 150
And, b = 85
Thus, using formula
⇒ m = 85 × 100/150
= 85 × 100/150
= 8500/150 = 56.67%
Thus, 56.67% of 150 = 85
Thus, 56.67% Answer
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