Question : 220 is what percent of 420? Or, What percent of 420 is equal to 220?
Correct Answer 52.38%
Solution & Explanation
Solution
Given number = 420
To find, 220 is what percent of 420?
This question can be written as also
What percent of 420 is equal to 220?
⇒ ?% of 420 = 220
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 420 = 220
⇒ m% × 420 = 220
⇒ m/100 × 420 = 220
⇒ 420 m/100 = 220
After cross multiplication, we get
420 m = 220 × 100
After transposing 420 to RHS, we get
m = 220 × 100/420
⇒ m = 22000/420
⇒ m = 52.38%
Thus, 52.38% of 420 = 220
Thus, Answer = 52.38%
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 420 = 220
Here, we have ? = m
a = 420
And, b = 220
Thus, using formula
⇒ m = 220 × 100/420
= 220 × 100/420
= 22000/420 = 52.38%
Thus, 52.38% of 420 = 220
Thus, 52.38% Answer
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