Question : 200 is what percent of 380? Or, What percent of 380 is equal to 200?
Correct Answer 52.63%
Solution & Explanation
Solution
Given number = 380
To find, 200 is what percent of 380?
This question can be written as also
What percent of 380 is equal to 200?
⇒ ?% of 380 = 200
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 380 = 200
⇒ m% × 380 = 200
⇒ m/100 × 380 = 200
⇒ 380 m/100 = 200
After cross multiplication, we get
380 m = 200 × 100
After transposing 380 to RHS, we get
m = 200 × 100/380
⇒ m = 20000/380
⇒ m = 52.63%
Thus, 52.63% of 380 = 200
Thus, Answer = 52.63%
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 380 = 200
Here, we have ? = m
a = 380
And, b = 200
Thus, using formula
⇒ m = 200 × 100/380
= 200 × 100/380
= 20000/380 = 52.63%
Thus, 52.63% of 380 = 200
Thus, 52.63% Answer
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