180.04 is what percent of 25.7 - 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 25.7 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 25.7, so we can write it down as 100%=25.7.
4. We know, that x% equals 180.04 of the output value, so we can write it down as x%=180.04.
5. Now we have two simple equations:
1) 100%=25.7
2) x%=180.04
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%=25.7/180.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.04 is what percent of 25.7

100%/x%=25.7/180.04
(100/x)*x=(25.7/180.04)*x       - we multiply both sides of the equation by x
100=0.1427460564319*x       - we divide both sides of the equation by (0.1427460564319) to get x
100/0.1427460564319=x
700.54474708171=x
x=700.54474708171

now we have:
180.04 is 700.54474708171% of 25.7