110.6 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 110.6 of the output value, so we can write it down as x%=110.6.
5. Now we have two simple equations:
1) 100%=800
2) x%=110.6
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%=800/110.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.6 is what percent of 800

100%/x%=800/110.6
(100/x)*x=(800/110.6)*x       - we multiply both sides of the equation by x
100=7.2332730560579*x       - we divide both sides of the equation by (7.2332730560579) to get x
100/7.2332730560579=x
13.825=x
x=13.825

now we have:
110.6 is 13.825% of 800