753.5 is what percent of 815 - 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 815 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 815, so we can write it down as 100%=815.
4. We know, that x% equals 753.5 of the output value, so we can write it down as x%=753.5.
5. Now we have two simple equations:
1) 100%=815
2) x%=753.5
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%=815/753.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 753.5 is what percent of 815

100%/x%=815/753.5
(100/x)*x=(815/753.5)*x       - we multiply both sides of the equation by x
100=1.0816191108162*x       - we divide both sides of the equation by (1.0816191108162) to get x
100/1.0816191108162=x
92.453987730061=x
x=92.453987730061

now we have:
753.5 is 92.453987730061% of 815