1007.7 is what percent of 1071.38 - 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 1071.38 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 1071.38, so we can write it down as 100%=1071.38.
4. We know, that x% equals 1007.7 of the output value, so we can write it down as x%=1007.7.
5. Now we have two simple equations:
1) 100%=1071.38
2) x%=1007.7
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%=1071.38/1007.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1007.7 is what percent of 1071.38

100%/x%=1071.38/1007.7
(100/x)*x=(1071.38/1007.7)*x       - we multiply both sides of the equation by x
100=1.0631934107373*x       - we divide both sides of the equation by (1.0631934107373) to get x
100/1.0631934107373=x
94.056263883963=x
x=94.056263883963

now we have:
1007.7 is 94.056263883963% of 1071.38