86.18 is what percent of 1378.18 - 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 1378.18 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 1378.18, so we can write it down as 100%=1378.18.
4. We know, that x% equals 86.18 of the output value, so we can write it down as x%=86.18.
5. Now we have two simple equations:
1) 100%=1378.18
2) x%=86.18
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%=1378.18/86.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.18 is what percent of 1378.18

100%/x%=1378.18/86.18
(100/x)*x=(1378.18/86.18)*x       - we multiply both sides of the equation by x
100=15.991877465769*x       - we divide both sides of the equation by (15.991877465769) to get x
100/15.991877465769=x
6.2531744764835=x
x=6.2531744764835

now we have:
86.18 is 6.2531744764835% of 1378.18