Question:
5 is what percent of 96? Or, What percent of 96 is equal to 5?
Correct Answer
5.21%
Solution And Explanation
Solution
Method (1)
Given number = 96
To find, 5 is what percent of 96?
This question can be written as also
What percent of 96 is equal to 5?
⇒ ?% of 96 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 96 = 5
⇒ m% × 96 = 5
⇒ m/100 × 96 = 5
⇒ 96 m/100 = 5
After cross multiplication, we get
96 m = 5 × 100
After transposing 96 to RHS, we get
m = 5 × 100/96
⇒ m = 500/96
⇒ m = 5.21%
Thus, 5.21% of 96 = 5
Thus, Answer = 5.21%
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 96 = 5
Here, we have ? = m
a = 96
And, b = 5
Thus, using formula
⇒ m = 5 × 100/96
= 5 × 100/96
= 500/96 = 5.21%
Thus, 5.21% of 96 = 5
Thus, 5.21% Answer
Similar Questions
(1) Convert 848% into fraction.
(2) Convert 333% into fraction.
(3) 5 is what percent of 74? Or, What percent of 74 is equal to 5?
(4) 45 is what percent of 70? Or, What percent of 70 is equal to 45?
(5) Convert 558% into fraction.
(6) Convert 197% into fraction.
(7) Convert 169% into fraction.
(8) Convert 312% into fraction.
(9) Convert 6% into fraction.
(10) Convert 477% into fraction.