85.18 is what percent of 1287.99 - 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 1287.99 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 1287.99, so we can write it down as 100%=1287.99.
4. We know, that x% equals 85.18 of the output value, so we can write it down as x%=85.18.
5. Now we have two simple equations:
1) 100%=1287.99
2) x%=85.18
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%=1287.99/85.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.18 is what percent of 1287.99

100%/x%=1287.99/85.18
(100/x)*x=(1287.99/85.18)*x       - we multiply both sides of the equation by x
100=15.1208030054*x       - we divide both sides of the equation by (15.1208030054) to get x
100/15.1208030054=x
6.6134053835822=x
x=6.6134053835822

now we have:
85.18 is 6.6134053835822% of 1287.99