78.06 is what percent of 756.71 - 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 756.71 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 756.71, so we can write it down as 100%=756.71.
4. We know, that x% equals 78.06 of the output value, so we can write it down as x%=78.06.
5. Now we have two simple equations:
1) 100%=756.71
2) x%=78.06
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%=756.71/78.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.06 is what percent of 756.71

100%/x%=756.71/78.06
(100/x)*x=(756.71/78.06)*x       - we multiply both sides of the equation by x
100=9.6939533692032*x       - we divide both sides of the equation by (9.6939533692032) to get x
100/9.6939533692032=x
10.315708792008=x
x=10.315708792008

now we have:
78.06 is 10.315708792008% of 756.71