9.4k views
4 votes
45% of a number is 180. Find the number

User Daragua
by
8.0k points

1 Answer

5 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 Gabriel Hurley
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories