146.82 is what percent of 1353.33 - 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 1353.33 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 1353.33, so we can write it down as 100%=1353.33.
4. We know, that x% equals 146.82 of the output value, so we can write it down as x%=146.82.
5. Now we have two simple equations:
1) 100%=1353.33
2) x%=146.82
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%=1353.33/146.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.82 is what percent of 1353.33

100%/x%=1353.33/146.82
(100/x)*x=(1353.33/146.82)*x       - we multiply both sides of the equation by x
100=9.2176134041684*x       - we divide both sides of the equation by (9.2176134041684) to get x
100/9.2176134041684=x
10.848795194077=x
x=10.848795194077

now we have:
146.82 is 10.848795194077% of 1353.33