Question : 5 is what percent of 46? Or, What percent of 46 is equal to 5?
Correct Answer 10.87%
Solution & Explanation
Solution
Method (1)
Given number = 46
To find, 5 is what percent of 46?
This question can be written as also
What percent of 46 is equal to 5?
⇒ ?% of 46 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 46 = 5
⇒ m% × 46 = 5
⇒ m/100 × 46 = 5
⇒ 46 m/100 = 5
After cross multiplication, we get
46 m = 5 × 100
After transposing 46 to RHS, we get
m = 5 × 100/46
⇒ m = 500/46
⇒ m = 10.87%
Thus, 10.87% of 46 = 5
Thus, Answer = 10.87%
Method (2) Shortcut Method
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 46 = 5
Here, we have ? = m
a = 46
And, b = 5
Thus, using formula
⇒ m = 5 × 100/46
= 5 × 100/46
= 500/46 = 10.87%
Thus, 10.87% of 46 = 5
Thus, 10.87% Answer
Similar Questions
(1) 125 is what percent of 230? Or, What percent of 230 is equal to 125?
(2) Convert 745% into fraction.
(3) Convert 809% into fraction.
(4) Convert 820% into fraction.
(5) Convert 387% into fraction.
(6) Convert 428% into fraction.
(7) Convert 398% into fraction.
(8) Convert 119% into fraction.
(9) Convert 527% into fraction.
(10) Convert 980% into fraction.