828.7 is what percent of 837 - 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 837 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 837, so we can write it down as 100%=837.
4. We know, that x% equals 828.7 of the output value, so we can write it down as x%=828.7.
5. Now we have two simple equations:
1) 100%=837
2) x%=828.7
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%=837/828.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 828.7 is what percent of 837

100%/x%=837/828.7
(100/x)*x=(837/828.7)*x       - we multiply both sides of the equation by x
100=1.0100156872209*x       - we divide both sides of the equation by (1.0100156872209) to get x
100/1.0100156872209=x
99.008363201912=x
x=99.008363201912

now we have:
828.7 is 99.008363201912% of 837