Question : 190 is what percent of 360? Or, What percent of 360 is equal to 190?
Correct Answer 52.78%
Solution & Explanation
Solution
Given number = 360
To find, 190 is what percent of 360?
This question can be written as also
What percent of 360 is equal to 190?
⇒ ?% of 360 = 190
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 360 = 190
⇒ m% × 360 = 190
⇒ m/100 × 360 = 190
⇒ 360 m/100 = 190
After cross multiplication, we get
360 m = 190 × 100
After transposing 360 to RHS, we get
m = 190 × 100/360
⇒ m = 19000/360
⇒ m = 52.78%
Thus, 52.78% of 360 = 190
Thus, Answer = 52.78%
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 360 = 190
Here, we have ? = m
a = 360
And, b = 190
Thus, using formula
⇒ m = 190 × 100/360
= 190 × 100/360
= 19000/360 = 52.78%
Thus, 52.78% of 360 = 190
Thus, 52.78% Answer
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