Question : 175 is what percent of 330? Or, What percent of 330 is equal to 175?
Correct Answer 53.03%
Solution & Explanation
Solution
Given number = 330
To find, 175 is what percent of 330?
This question can be written as also
What percent of 330 is equal to 175?
⇒ ?% of 330 = 175
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 330 = 175
⇒ m% × 330 = 175
⇒ m/100 × 330 = 175
⇒ 330 m/100 = 175
After cross multiplication, we get
330 m = 175 × 100
After transposing 330 to RHS, we get
m = 175 × 100/330
⇒ m = 17500/330
⇒ m = 53.03%
Thus, 53.03% of 330 = 175
Thus, Answer = 53.03%
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 330 = 175
Here, we have ? = m
a = 330
And, b = 175
Thus, using formula
⇒ m = 175 × 100/330
= 175 × 100/330
= 17500/330 = 53.03%
Thus, 53.03% of 330 = 175
Thus, 53.03% Answer
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