511.71 is what percent of 615 - 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 615 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 615, so we can write it down as 100%=615.
4. We know, that x% equals 511.71 of the output value, so we can write it down as x%=511.71.
5. Now we have two simple equations:
1) 100%=615
2) x%=511.71
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%=615/511.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.71 is what percent of 615

100%/x%=615/511.71
(100/x)*x=(615/511.71)*x       - we multiply both sides of the equation by x
100=1.2018526118309*x       - we divide both sides of the equation by (1.2018526118309) to get x
100/1.2018526118309=x
83.20487804878=x
x=83.20487804878

now we have:
511.71 is 83.20487804878% of 615