Question : 115 is what percent of 210? Or, What percent of 210 is equal to 115?
Correct Answer 54.76%
Solution & Explanation
Solution
Given number = 210
To find, 115 is what percent of 210?
This question can be written as also
What percent of 210 is equal to 115?
⇒ ?% of 210 = 115
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 210 = 115
⇒ m% × 210 = 115
⇒ m/100 × 210 = 115
⇒ 210 m/100 = 115
After cross multiplication, we get
210 m = 115 × 100
After transposing 210 to RHS, we get
m = 115 × 100/210
⇒ m = 11500/210
⇒ m = 54.76%
Thus, 54.76% of 210 = 115
Thus, Answer = 54.76%
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 210 = 115
Here, we have ? = m
a = 210
And, b = 115
Thus, using formula
⇒ m = 115 × 100/210
= 115 × 100/210
= 11500/210 = 54.76%
Thus, 54.76% of 210 = 115
Thus, 54.76% Answer
Similar Questions
(1) Convert 973% into fraction.
(3) Convert 821% into fraction.
(4) 250 is what percent of 480? Or, What percent of 480 is equal to 250?
(5) Convert 933% into fraction.
(6) Convert 485% into fraction.
(7) 5 is what percent of 93? Or, What percent of 93 is equal to 5?
(8) 5 is what percent of 23? Or, What percent of 23 is equal to 5?
(9) 145 is what percent of 270? Or, What percent of 270 is equal to 145?
(10) Convert 71% into fraction.