180.29 is what percent of 1522.69 - 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 1522.69 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 1522.69, so we can write it down as 100%=1522.69.
4. We know, that x% equals 180.29 of the output value, so we can write it down as x%=180.29.
5. Now we have two simple equations:
1) 100%=1522.69
2) x%=180.29
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%=1522.69/180.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.29 is what percent of 1522.69

100%/x%=1522.69/180.29
(100/x)*x=(1522.69/180.29)*x       - we multiply both sides of the equation by x
100=8.4457817959953*x       - we divide both sides of the equation by (8.4457817959953) to get x
100/8.4457817959953=x
11.840230119066=x
x=11.840230119066

now we have:
180.29 is 11.840230119066% of 1522.69