Question : 205 is what percent of 390? Or, What percent of 390 is equal to 205?
Correct Answer 52.56%
Solution & Explanation
Solution
Given number = 390
To find, 205 is what percent of 390?
This question can be written as also
What percent of 390 is equal to 205?
⇒ ?% of 390 = 205
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 390 = 205
⇒ m% × 390 = 205
⇒ m/100 × 390 = 205
⇒ 390 m/100 = 205
After cross multiplication, we get
390 m = 205 × 100
After transposing 390 to RHS, we get
m = 205 × 100/390
⇒ m = 20500/390
⇒ m = 52.56%
Thus, 52.56% of 390 = 205
Thus, Answer = 52.56%
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 390 = 205
Here, we have ? = m
a = 390
And, b = 205
Thus, using formula
⇒ m = 205 × 100/390
= 205 × 100/390
= 20500/390 = 52.56%
Thus, 52.56% of 390 = 205
Thus, 52.56% Answer
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