827.13 is what percent of 870 - 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 870 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 870, so we can write it down as 100%=870.
4. We know, that x% equals 827.13 of the output value, so we can write it down as x%=827.13.
5. Now we have two simple equations:
1) 100%=870
2) x%=827.13
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%=870/827.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 827.13 is what percent of 870

100%/x%=870/827.13
(100/x)*x=(870/827.13)*x       - we multiply both sides of the equation by x
100=1.0518298211889*x       - we divide both sides of the equation by (1.0518298211889) to get x
100/1.0518298211889=x
95.072413793103=x
x=95.072413793103

now we have:
827.13 is 95.072413793103% of 870