180.57 is what percent of 847.13 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 847.13 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 847.13, so we can write it down as 100%=847.13.
4. We know, that x% equals 180.57 of the output value, so we can write it down as x%=180.57.
5. Now we have two simple equations:
1) 100%=847.13
2) x%=180.57
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%=847.13/180.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.57 is what percent of 847.13

100%/x%=847.13/180.57
(100/x)*x=(847.13/180.57)*x       - we multiply both sides of the equation by x
100=4.6914216093482*x       - we divide both sides of the equation by (4.6914216093482) to get x
100/4.6914216093482=x
21.315500572521=x
x=21.315500572521

now we have:
180.57 is 21.315500572521% of 847.13