Question : 120 is what percent of 220? Or, What percent of 220 is equal to 120?
Correct Answer 54.55%
Solution & Explanation
Solution
Given number = 220
To find, 120 is what percent of 220?
This question can be written as also
What percent of 220 is equal to 120?
⇒ ?% of 220 = 120
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 220 = 120
⇒ m% × 220 = 120
⇒ m/100 × 220 = 120
⇒ 220 m/100 = 120
After cross multiplication, we get
220 m = 120 × 100
After transposing 220 to RHS, we get
m = 120 × 100/220
⇒ m = 12000/220
⇒ m = 54.55%
Thus, 54.55% of 220 = 120
Thus, Answer = 54.55%
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 220 = 120
Here, we have ? = m
a = 220
And, b = 120
Thus, using formula
⇒ m = 120 × 100/220
= 120 × 100/220
= 12000/220 = 54.55%
Thus, 54.55% of 220 = 120
Thus, 54.55% Answer
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