100.7 is what percent of 1268.91 - 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 1268.91 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 1268.91, so we can write it down as 100%=1268.91.
4. We know, that x% equals 100.7 of the output value, so we can write it down as x%=100.7.
5. Now we have two simple equations:
1) 100%=1268.91
2) x%=100.7
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%=1268.91/100.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.7 is what percent of 1268.91

100%/x%=1268.91/100.7
(100/x)*x=(1268.91/100.7)*x       - we multiply both sides of the equation by x
100=12.600893743793*x       - we divide both sides of the equation by (12.600893743793) to get x
100/12.600893743793=x
7.9359450236817=x
x=7.9359450236817

now we have:
100.7 is 7.9359450236817% of 1268.91