Question : 5 is what percent of 99? Or, What percent of 99 is equal to 5?
Correct Answer 5.05%
Solution & Explanation
Solution
Method (1)
Given number = 99
To find, 5 is what percent of 99?
This question can be written as also
What percent of 99 is equal to 5?
⇒ ?% of 99 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 99 = 5
⇒ m% × 99 = 5
⇒ m/100 × 99 = 5
⇒ 99 m/100 = 5
After cross multiplication, we get
99 m = 5 × 100
After transposing 99 to RHS, we get
m = 5 × 100/99
⇒ m = 500/99
⇒ m = 5.05%
Thus, 5.05% of 99 = 5
Thus, Answer = 5.05%
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 99 = 5
Here, we have ? = m
a = 99
And, b = 5
Thus, using formula
⇒ m = 5 × 100/99
= 5 × 100/99
= 500/99 = 5.05%
Thus, 5.05% of 99 = 5
Thus, 5.05% Answer
Similar Questions
(1) Convert 313% into fraction.
(2) Convert 903% into fraction.
(3) Convert 270% into fraction.
(4) 5 is what percent of 58? Or, What percent of 58 is equal to 5?
(5) Convert 153% into fraction.
(6) Convert 800% into fraction.
(7) Convert 854% into fraction.
(8) 220 is what percent of 420? Or, What percent of 420 is equal to 220?
(9) Convert 248% into fraction.
(10) Convert 789% into fraction.