217,726 views
10 votes
10 votes
45% of a number is 180. Find the number

User MooGoo
by
2.7k points

1 Answer

19 votes
19 votes

Answer:

400

Explanation:

Let the number be known as "x".

Given statement:

45% of a number is 180.

The term "of" defines multiplication between two terms. In this case, the terms are 45% and the number "x". Therefore,

⇒ 45% × x = 180

When we convert a percentage into a fraction, simply divide the percentage by 100 and remove the percentage sign to obtain the result in fraction form.

⇒ 45/100 × x = 180

Multiplying 45/100 and x:

⇒ 45/100 × x = 180

⇒ 45x/100 = 180

Using cross multiplication:

⇒ 45x/100 = 180

⇒ 45x = 180 × 100

Simplifying the right-hand-side:

⇒ 45x = 180 × 100

⇒ 45x = 18000

Dividing 45 to both sides of the equation:

⇒ 45x = 18000

⇒ 45x/45 = 18000/45

x = 18000/45 = 400

Therefore, the number is 400.

User Pavan Jadda
by
2.9k points