Question : 235 is what percent of 450? Or, What percent of 450 is equal to 235?
Correct Answer 52.22%
Solution & Explanation
Solution
Given number = 450
To find, 235 is what percent of 450?
This question can be written as also
What percent of 450 is equal to 235?
⇒ ?% of 450 = 235
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 450 = 235
⇒ m% × 450 = 235
⇒ m/100 × 450 = 235
⇒ 450 m/100 = 235
After cross multiplication, we get
450 m = 235 × 100
After transposing 450 to RHS, we get
m = 235 × 100/450
⇒ m = 23500/450
⇒ m = 52.22%
Thus, 52.22% of 450 = 235
Thus, Answer = 52.22%
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 450 = 235
Here, we have ? = m
a = 450
And, b = 235
Thus, using formula
⇒ m = 235 × 100/450
= 235 × 100/450
= 23500/450 = 52.22%
Thus, 52.22% of 450 = 235
Thus, 52.22% Answer
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