110.1 is what percent of 1352 - 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 1352 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 1352, so we can write it down as 100%=1352.
4. We know, that x% equals 110.1 of the output value, so we can write it down as x%=110.1.
5. Now we have two simple equations:
1) 100%=1352
2) x%=110.1
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%=1352/110.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.1 is what percent of 1352

100%/x%=1352/110.1
(100/x)*x=(1352/110.1)*x       - we multiply both sides of the equation by x
100=12.27974568574*x       - we divide both sides of the equation by (12.27974568574) to get x
100/12.27974568574=x
8.1434911242604=x
x=8.1434911242604

now we have:
110.1 is 8.1434911242604% of 1352