Question : 255 is what percent of 490? Or, What percent of 490 is equal to 255?
Correct Answer 52.04%
Solution & Explanation
Solution
Given number = 490
To find, 255 is what percent of 490?
This question can be written as also
What percent of 490 is equal to 255?
⇒ ?% of 490 = 255
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 490 = 255
⇒ m% × 490 = 255
⇒ m/100 × 490 = 255
⇒ 490 m/100 = 255
After cross multiplication, we get
490 m = 255 × 100
After transposing 490 to RHS, we get
m = 255 × 100/490
⇒ m = 25500/490
⇒ m = 52.04%
Thus, 52.04% of 490 = 255
Thus, Answer = 52.04%
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 490 = 255
Here, we have ? = m
a = 490
And, b = 255
Thus, using formula
⇒ m = 255 × 100/490
= 255 × 100/490
= 25500/490 = 52.04%
Thus, 52.04% of 490 = 255
Thus, 52.04% Answer
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