Question : 180 is what percent of 340? Or, What percent of 340 is equal to 180?
Correct Answer 52.94%
Solution & Explanation
Solution
Given number = 340
To find, 180 is what percent of 340?
This question can be written as also
What percent of 340 is equal to 180?
⇒ ?% of 340 = 180
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 340 = 180
⇒ m% × 340 = 180
⇒ m/100 × 340 = 180
⇒ 340 m/100 = 180
After cross multiplication, we get
340 m = 180 × 100
After transposing 340 to RHS, we get
m = 180 × 100/340
⇒ m = 18000/340
⇒ m = 52.94%
Thus, 52.94% of 340 = 180
Thus, Answer = 52.94%
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 340 = 180
Here, we have ? = m
a = 340
And, b = 180
Thus, using formula
⇒ m = 180 × 100/340
= 180 × 100/340
= 18000/340 = 52.94%
Thus, 52.94% of 340 = 180
Thus, 52.94% Answer
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