789.51 is what percent of 10 - 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 10 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 10, so we can write it down as 100%=10.
4. We know, that x% equals 789.51 of the output value, so we can write it down as x%=789.51.
5. Now we have two simple equations:
1) 100%=10
2) x%=789.51
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%=10/789.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 789.51 is what percent of 10

100%/x%=10/789.51
(100/x)*x=(10/789.51)*x       - we multiply both sides of the equation by x
100=0.012666084026801*x       - we divide both sides of the equation by (0.012666084026801) to get x
100/0.012666084026801=x
7895.1=x
x=7895.1

now we have:
789.51 is 7895.1% of 10