Question:
5 is what percent of 12? Or, What percent of 12 is equal to 5?
Correct Answer
41.67%
Solution And Explanation
Solution
Method (1)
Given number = 12
To find, 5 is what percent of 12?
This question can be written as also
What percent of 12 is equal to 5?
⇒ ?% of 12 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 12 = 5
⇒ m% × 12 = 5
⇒ m/100 × 12 = 5
⇒ 12 m/100 = 5
After cross multiplication, we get
12 m = 5 × 100
After transposing 12 to RHS, we get
m = 5 × 100/12
⇒ m = 500/12
⇒ m = 41.67%
Thus, 41.67% of 12 = 5
Thus, Answer = 41.67%
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 12 = 5
Here, we have ? = m
a = 12
And, b = 5
Thus, using formula
⇒ m = 5 × 100/12
= 5 × 100/12
= 500/12 = 41.67%
Thus, 41.67% of 12 = 5
Thus, 41.67% Answer
Similar Questions
(1) Convert 338% into fraction.
(2) Convert 340% into fraction.
(3) Convert 486% into fraction.
(4) Convert 732% into fraction.
(5) Convert 374% into fraction.
(6) Convert 90% into fraction.
(7) 5 is what percent of 24? Or, What percent of 24 is equal to 5?
(8) 190 is what percent of 360? Or, What percent of 360 is equal to 190?
(9) Convert 959% into fraction.
(10) Convert 669% into fraction.