Question : 170 is what percent of 320? Or, What percent of 320 is equal to 170?
Correct Answer 53.13%
Solution & Explanation
Solution
Given number = 320
To find, 170 is what percent of 320?
This question can be written as also
What percent of 320 is equal to 170?
⇒ ?% of 320 = 170
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 320 = 170
⇒ m% × 320 = 170
⇒ m/100 × 320 = 170
⇒ 320 m/100 = 170
After cross multiplication, we get
320 m = 170 × 100
After transposing 320 to RHS, we get
m = 170 × 100/320
⇒ m = 17000/320
⇒ m = 53.13%
Thus, 53.13% of 320 = 170
Thus, Answer = 53.13%
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 320 = 170
Here, we have ? = m
a = 320
And, b = 170
Thus, using formula
⇒ m = 170 × 100/320
= 170 × 100/320
= 17000/320 = 53.13%
Thus, 53.13% of 320 = 170
Thus, 53.13% Answer
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