83.64 is what percent of 512.56 - 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 512.56 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 512.56, so we can write it down as 100%=512.56.
4. We know, that x% equals 83.64 of the output value, so we can write it down as x%=83.64.
5. Now we have two simple equations:
1) 100%=512.56
2) x%=83.64
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%=512.56/83.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.64 is what percent of 512.56

100%/x%=512.56/83.64
(100/x)*x=(512.56/83.64)*x       - we multiply both sides of the equation by x
100=6.1281683405069*x       - we divide both sides of the equation by (6.1281683405069) to get x
100/6.1281683405069=x
16.318089589511=x
x=16.318089589511

now we have:
83.64 is 16.318089589511% of 512.56