Question : 250 is what percent of 480? Or, What percent of 480 is equal to 250?
Correct Answer 52.08%
Solution & Explanation
Solution
Given number = 480
To find, 250 is what percent of 480?
This question can be written as also
What percent of 480 is equal to 250?
⇒ ?% of 480 = 250
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 480 = 250
⇒ m% × 480 = 250
⇒ m/100 × 480 = 250
⇒ 480 m/100 = 250
After cross multiplication, we get
480 m = 250 × 100
After transposing 480 to RHS, we get
m = 250 × 100/480
⇒ m = 25000/480
⇒ m = 52.08%
Thus, 52.08% of 480 = 250
Thus, Answer = 52.08%
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 480 = 250
Here, we have ? = m
a = 480
And, b = 250
Thus, using formula
⇒ m = 250 × 100/480
= 250 × 100/480
= 25000/480 = 52.08%
Thus, 52.08% of 480 = 250
Thus, 52.08% Answer
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