110.7 is what percent of 1018 - 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 1018 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 1018, so we can write it down as 100%=1018.
4. We know, that x% equals 110.7 of the output value, so we can write it down as x%=110.7.
5. Now we have two simple equations:
1) 100%=1018
2) x%=110.7
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%=1018/110.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.7 is what percent of 1018

100%/x%=1018/110.7
(100/x)*x=(1018/110.7)*x       - we multiply both sides of the equation by x
100=9.1960252935863*x       - we divide both sides of the equation by (9.1960252935863) to get x
100/9.1960252935863=x
10.874263261297=x
x=10.874263261297

now we have:
110.7 is 10.874263261297% of 1018