Question : 225 is what percent of 430? Or, What percent of 430 is equal to 225?
Correct Answer 52.33%
Solution & Explanation
Solution
Given number = 430
To find, 225 is what percent of 430?
This question can be written as also
What percent of 430 is equal to 225?
⇒ ?% of 430 = 225
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 430 = 225
⇒ m% × 430 = 225
⇒ m/100 × 430 = 225
⇒ 430 m/100 = 225
After cross multiplication, we get
430 m = 225 × 100
After transposing 430 to RHS, we get
m = 225 × 100/430
⇒ m = 22500/430
⇒ m = 52.33%
Thus, 52.33% of 430 = 225
Thus, Answer = 52.33%
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 430 = 225
Here, we have ? = m
a = 430
And, b = 225
Thus, using formula
⇒ m = 225 × 100/430
= 225 × 100/430
= 22500/430 = 52.33%
Thus, 52.33% of 430 = 225
Thus, 52.33% Answer
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