Question : 20 is what percent of 20? Or, What percent of 20 is equal to 20?
Correct Answer 100%
Solution & Explanation
Solution
Given number = 20
To find, 20 is what percent of 20?
This question can be written as also
What percent of 20 is equal to 20?
⇒ ?% of 20 = 20
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 20 = 20
⇒ m% × 20 = 20
⇒ m/100 × 20 = 20
⇒ 20 m/100 = 20
After cross multiplication, we get
20 m = 20 × 100
After transposing 20 to RHS, we get
m = 20 × 100/20
⇒ m = 2000/20
⇒ m = 100%
Thus, 100% of 20 = 20
Thus, Answer = 100%
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 20 = 20
Here, we have ? = m
a = 20
And, b = 20
Thus, using formula
⇒ m = 20 × 100/20
= 20 × 100/20
= 2000/20 = 100%
Thus, 100% of 20 = 20
Thus, 100% Answer
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