837.38 is what percent of 985.16 - 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 985.16 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 985.16, so we can write it down as 100%=985.16.
4. We know, that x% equals 837.38 of the output value, so we can write it down as x%=837.38.
5. Now we have two simple equations:
1) 100%=985.16
2) x%=837.38
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%=985.16/837.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 837.38 is what percent of 985.16

100%/x%=985.16/837.38
(100/x)*x=(985.16/837.38)*x       - we multiply both sides of the equation by x
100=1.1764790178891*x       - we divide both sides of the equation by (1.1764790178891) to get x
100/1.1764790178891=x
84.999390961874=x
x=84.999390961874

now we have:
837.38 is 84.999390961874% of 985.16