The number 45% is what percent of 180

1. We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.

5. Now we have two simple equations:

1) 100%=180

2) x%=45

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/45

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 180

100%/x%=180/45

(100/x) * x = (180/45) * x - we multiply both sides of the equation by x

100=4*x - we divide both sides of the equation by (4) to get x

100/4=x

25=x

x=25

45 is 25% of 180