Question : 140 is what percent of 260? Or, What percent of 260 is equal to 140?
Correct Answer 53.85%
Solution & Explanation
Solution
Given number = 260
To find, 140 is what percent of 260?
This question can be written as also
What percent of 260 is equal to 140?
⇒ ?% of 260 = 140
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 260 = 140
⇒ m% × 260 = 140
⇒ m/100 × 260 = 140
⇒ 260 m/100 = 140
After cross multiplication, we get
260 m = 140 × 100
After transposing 260 to RHS, we get
m = 140 × 100/260
⇒ m = 14000/260
⇒ m = 53.85%
Thus, 53.85% of 260 = 140
Thus, Answer = 53.85%
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 260 = 140
Here, we have ? = m
a = 260
And, b = 140
Thus, using formula
⇒ m = 140 × 100/260
= 140 × 100/260
= 14000/260 = 53.85%
Thus, 53.85% of 260 = 140
Thus, 53.85% Answer
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