Respuesta :
Answer:
400
Step-by-step 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.
