Question : 195 is what percent of 370? Or, What percent of 370 is equal to 195?
Correct Answer 52.7%
Solution & Explanation
Solution
Given number = 370
To find, 195 is what percent of 370?
This question can be written as also
What percent of 370 is equal to 195?
⇒ ?% of 370 = 195
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 370 = 195
⇒ m% × 370 = 195
⇒ m/100 × 370 = 195
⇒ 370 m/100 = 195
After cross multiplication, we get
370 m = 195 × 100
After transposing 370 to RHS, we get
m = 195 × 100/370
⇒ m = 19500/370
⇒ m = 52.7%
Thus, 52.7% of 370 = 195
Thus, Answer = 52.7%
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 370 = 195
Here, we have ? = m
a = 370
And, b = 195
Thus, using formula
⇒ m = 195 × 100/370
= 195 × 100/370
= 19500/370 = 52.7%
Thus, 52.7% of 370 = 195
Thus, 52.7% Answer
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