Question : 70 is what percent of 120? Or, What percent of 120 is equal to 70?
Correct Answer 58.33%
Solution & Explanation
Solution
Given number = 120
To find, 70 is what percent of 120?
This question can be written as also
What percent of 120 is equal to 70?
⇒ ?% of 120 = 70
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 120 = 70
⇒ m% × 120 = 70
⇒ m/100 × 120 = 70
⇒ 120 m/100 = 70
After cross multiplication, we get
120 m = 70 × 100
After transposing 120 to RHS, we get
m = 70 × 100/120
⇒ m = 7000/120
⇒ m = 58.33%
Thus, 58.33% of 120 = 70
Thus, Answer = 58.33%
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 120 = 70
Here, we have ? = m
a = 120
And, b = 70
Thus, using formula
⇒ m = 70 × 100/120
= 70 × 100/120
= 7000/120 = 58.33%
Thus, 58.33% of 120 = 70
Thus, 58.33% Answer
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