Question:
5 is what percent of 11? Or, What percent of 11 is equal to 5?
Correct Answer
45.45%
Solution And Explanation
Solution
Method (1)
Given number = 11
To find, 5 is what percent of 11?
This question can be written as also
What percent of 11 is equal to 5?
⇒ ?% of 11 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 11 = 5
⇒ m% × 11 = 5
⇒ m/100 × 11 = 5
⇒ 11 m/100 = 5
After cross multiplication, we get
11 m = 5 × 100
After transposing 11 to RHS, we get
m = 5 × 100/11
⇒ m = 500/11
⇒ m = 45.45%
Thus, 45.45% of 11 = 5
Thus, Answer = 45.45%
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 11 = 5
Here, we have ? = m
a = 11
And, b = 5
Thus, using formula
⇒ m = 5 × 100/11
= 5 × 100/11
= 500/11 = 45.45%
Thus, 45.45% of 11 = 5
Thus, 45.45% Answer
Similar Questions
(1) 20 is what percent of 20? Or, What percent of 20 is equal to 20?
(2) 5 is what percent of 67? Or, What percent of 67 is equal to 5?
(3) 260 is what percent of 500? Or, What percent of 500 is equal to 260?
(4) Convert 957% into fraction.
(5) 5 is what percent of 36? Or, What percent of 36 is equal to 5?
(6) Convert 710% into fraction.
(7) Convert 15% into fraction.
(8) 25 is what percent of 30? Or, What percent of 30 is equal to 25?
(9) Convert 781% into fraction.
(10) Convert 770% into fraction.