133.62 is what percent of 1647.99 - 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 1647.99 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 1647.99, so we can write it down as 100%=1647.99.
4. We know, that x% equals 133.62 of the output value, so we can write it down as x%=133.62.
5. Now we have two simple equations:
1) 100%=1647.99
2) x%=133.62
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%=1647.99/133.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.62 is what percent of 1647.99

100%/x%=1647.99/133.62
(100/x)*x=(1647.99/133.62)*x       - we multiply both sides of the equation by x
100=12.333408172429*x       - we divide both sides of the equation by (12.333408172429) to get x
100/12.333408172429=x
8.1080589081244=x
x=8.1080589081244

now we have:
133.62 is 8.1080589081244% of 1647.99