103.88 is what percent of 857.6 - 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 857.6 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 857.6, so we can write it down as 100%=857.6.
4. We know, that x% equals 103.88 of the output value, so we can write it down as x%=103.88.
5. Now we have two simple equations:
1) 100%=857.6
2) x%=103.88
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%=857.6/103.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.88 is what percent of 857.6

100%/x%=857.6/103.88
(100/x)*x=(857.6/103.88)*x       - we multiply both sides of the equation by x
100=8.2556796303427*x       - we divide both sides of the equation by (8.2556796303427) to get x
100/8.2556796303427=x
12.112873134328=x
x=12.112873134328

now we have:
103.88 is 12.112873134328% of 857.6