753.82 is what percent of 10034.64 - 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 10034.64 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 10034.64, so we can write it down as 100%=10034.64.
4. We know, that x% equals 753.82 of the output value, so we can write it down as x%=753.82.
5. Now we have two simple equations:
1) 100%=10034.64
2) x%=753.82
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%=10034.64/753.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 753.82 is what percent of 10034.64

100%/x%=10034.64/753.82
(100/x)*x=(10034.64/753.82)*x       - we multiply both sides of the equation by x
100=13.311718978005*x       - we divide both sides of the equation by (13.311718978005) to get x
100/13.311718978005=x
7.5121778160452=x
x=7.5121778160452

now we have:
753.82 is 7.5121778160452% of 10034.64