Question : 160 is what percent of 300? Or, What percent of 300 is equal to 160?
Correct Answer 53.33%
Solution & Explanation
Solution
Given number = 300
To find, 160 is what percent of 300?
This question can be written as also
What percent of 300 is equal to 160?
⇒ ?% of 300 = 160
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 300 = 160
⇒ m% × 300 = 160
⇒ m/100 × 300 = 160
⇒ 300 m/100 = 160
After cross multiplication, we get
300 m = 160 × 100
After transposing 300 to RHS, we get
m = 160 × 100/300
⇒ m = 16000/300
⇒ m = 53.33%
Thus, 53.33% of 300 = 160
Thus, Answer = 53.33%
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 300 = 160
Here, we have ? = m
a = 300
And, b = 160
Thus, using formula
⇒ m = 160 × 100/300
= 160 × 100/300
= 16000/300 = 53.33%
Thus, 53.33% of 300 = 160
Thus, 53.33% Answer
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