83.07 is what percent of 642.57 - 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 642.57 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 642.57, so we can write it down as 100%=642.57.
4. We know, that x% equals 83.07 of the output value, so we can write it down as x%=83.07.
5. Now we have two simple equations:
1) 100%=642.57
2) x%=83.07
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%=642.57/83.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.07 is what percent of 642.57

100%/x%=642.57/83.07
(100/x)*x=(642.57/83.07)*x       - we multiply both sides of the equation by x
100=7.7352834958469*x       - we divide both sides of the equation by (7.7352834958469) to get x
100/7.7352834958469=x
12.927774405901=x
x=12.927774405901

now we have:
83.07 is 12.927774405901% of 642.57