85.5 is what percent of 5416.18 - 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 5416.18 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 5416.18, so we can write it down as 100%=5416.18.
4. We know, that x% equals 85.5 of the output value, so we can write it down as x%=85.5.
5. Now we have two simple equations:
1) 100%=5416.18
2) x%=85.5
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%=5416.18/85.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.5 is what percent of 5416.18

100%/x%=5416.18/85.5
(100/x)*x=(5416.18/85.5)*x       - we multiply both sides of the equation by x
100=63.347134502924*x       - we divide both sides of the equation by (63.347134502924) to get x
100/63.347134502924=x
1.5786033699028=x
x=1.5786033699028

now we have:
85.5 is 1.5786033699028% of 5416.18