Question:
80 is what percent of 140? Or, What percent of 140 is equal to 80?
Correct Answer
57.14%
Solution And Explanation
Solution
Given number = 140
To find, 80 is what percent of 140?
This question can be written as also
What percent of 140 is equal to 80?
⇒ ?% of 140 = 80
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 140 = 80
⇒ m% × 140 = 80
⇒ m/100 × 140 = 80
⇒ 140 m/100 = 80
After cross multiplication, we get
140 m = 80 × 100
After transposing 140 to RHS, we get
m = 80 × 100/140
⇒ m = 8000/140
⇒ m = 57.14%
Thus, 57.14% of 140 = 80
Thus, Answer = 57.14%
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 140 = 80
Here, we have ? = m
a = 140
And, b = 80
Thus, using formula
⇒ m = 80 × 100/140
= 80 × 100/140
= 8000/140 = 57.14%
Thus, 57.14% of 140 = 80
Thus, 57.14% Answer
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