10.17 is what percent of 540.8 - 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 540.8 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 540.8, so we can write it down as 100%=540.8.
4. We know, that x% equals 10.17 of the output value, so we can write it down as x%=10.17.
5. Now we have two simple equations:
1) 100%=540.8
2) x%=10.17
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%=540.8/10.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.17 is what percent of 540.8

100%/x%=540.8/10.17
(100/x)*x=(540.8/10.17)*x       - we multiply both sides of the equation by x
100=53.176007866273*x       - we divide both sides of the equation by (53.176007866273) to get x
100/53.176007866273=x
1.8805473372781=x
x=1.8805473372781

now we have:
10.17 is 1.8805473372781% of 540.8