Question:
5 is what percent of 2? Or, What percent of 2 is equal to 5?
Correct Answer
250%
Solution And Explanation
Solution
Method (1)
Given number = 2
To find, 5 is what percent of 2?
This question can be written as also
What percent of 2 is equal to 5?
⇒ ?% of 2 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 2 = 5
⇒ m% × 2 = 5
⇒ m/100 × 2 = 5
⇒ 2 m/100 = 5
After cross multiplication, we get
2 m = 5 × 100
After transposing 2 to RHS, we get
m = 5 × 100/2
⇒ m = 500/2
⇒ m = 250%
Thus, 250% of 2 = 5
Thus, Answer = 250%
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 2 = 5
Here, we have ? = m
a = 2
And, b = 5
Thus, using formula
⇒ m = 5 × 100/2
= 5 × 100/2
= 500/2 = 250%
Thus, 250% of 2 = 5
Thus, 250% Answer
Similar Questions
(1) Convert 952% into fraction.
(2) Convert 350% into fraction.
(3) Convert 345% into fraction.
(4) Convert 933% into fraction.
(5) Convert 612% into fraction.
(6) Convert 420% into fraction.
(7) Convert 973% into fraction.
(8) 90 is what percent of 160? Or, What percent of 160 is equal to 90?
(9) Convert 719% into fraction.
(10) 5 is what percent of 40? Or, What percent of 40 is equal to 5?