What is 766.34 percent of 1047.25 - 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 1047.25 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 1047.25 is 100%, so we can write it down as 1047.25=100%.
4. We know, that x is 766.34% of the output value, so we can write it down as x=766.34%.
5. Now we have two simple equations:
1) 1047.25=100%
2) x=766.34%
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:
1047.25/x=100%/766.34%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 766.34% of 1047.25

1047.25/x=100/766.34
(1047.25/x)*x=(100/766.34)*x       - we multiply both sides of the equation by x
1047.25=0.13049038285878*x       - we divide both sides of the equation by (0.13049038285878) to get x
1047.25/0.13049038285878=x
8025.49565=x
x=8025.49565

now we have:
766.34% of 1047.25=8025.49565