What is 787.5 percent of 1150 - 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 1150 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 1150 is 100%, so we can write it down as 1150=100%.
4. We know, that x is 787.5% of the output value, so we can write it down as x=787.5%.
5. Now we have two simple equations:
1) 1150=100%
2) x=787.5%
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:
1150/x=100%/787.5%
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 787.5% of 1150

1150/x=100/787.5
(1150/x)*x=(100/787.5)*x       - we multiply both sides of the equation by x
1150=0.12698412698413*x       - we divide both sides of the equation by (0.12698412698413) to get x
1150/0.12698412698413=x
9056.25=x
x=9056.25

now we have:
787.5% of 1150=9056.25