1007.06 is what percent of 10759.33 - 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 10759.33 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 10759.33, so we can write it down as 100%=10759.33.
4. We know, that x% equals 1007.06 of the output value, so we can write it down as x%=1007.06.
5. Now we have two simple equations:
1) 100%=10759.33
2) x%=1007.06
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%=10759.33/1007.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1007.06 is what percent of 10759.33

100%/x%=10759.33/1007.06
(100/x)*x=(10759.33/1007.06)*x       - we multiply both sides of the equation by x
100=10.68390165432*x       - we divide both sides of the equation by (10.68390165432) to get x
100/10.68390165432=x
9.359876497886=x
x=9.359876497886

now we have:
1007.06 is 9.359876497886% of 10759.33