Question : 185 is what percent of 350? Or, What percent of 350 is equal to 185?
Correct Answer 52.86%
Solution & Explanation
Solution
Given number = 350
To find, 185 is what percent of 350?
This question can be written as also
What percent of 350 is equal to 185?
⇒ ?% of 350 = 185
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 350 = 185
⇒ m% × 350 = 185
⇒ m/100 × 350 = 185
⇒ 350 m/100 = 185
After cross multiplication, we get
350 m = 185 × 100
After transposing 350 to RHS, we get
m = 185 × 100/350
⇒ m = 18500/350
⇒ m = 52.86%
Thus, 52.86% of 350 = 185
Thus, Answer = 52.86%
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 350 = 185
Here, we have ? = m
a = 350
And, b = 185
Thus, using formula
⇒ m = 185 × 100/350
= 185 × 100/350
= 18500/350 = 52.86%
Thus, 52.86% of 350 = 185
Thus, 52.86% Answer
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