Question : 230 is what percent of 440? Or, What percent of 440 is equal to 230?
Correct Answer 52.27%
Solution & Explanation
Solution
Given number = 440
To find, 230 is what percent of 440?
This question can be written as also
What percent of 440 is equal to 230?
⇒ ?% of 440 = 230
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 440 = 230
⇒ m% × 440 = 230
⇒ m/100 × 440 = 230
⇒ 440 m/100 = 230
After cross multiplication, we get
440 m = 230 × 100
After transposing 440 to RHS, we get
m = 230 × 100/440
⇒ m = 23000/440
⇒ m = 52.27%
Thus, 52.27% of 440 = 230
Thus, Answer = 52.27%
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 440 = 230
Here, we have ? = m
a = 440
And, b = 230
Thus, using formula
⇒ m = 230 × 100/440
= 230 × 100/440
= 23000/440 = 52.27%
Thus, 52.27% of 440 = 230
Thus, 52.27% Answer
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