What is 772.5 percent of 1000 - 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 1000 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 1000 is 100%, so we can write it down as 1000=100%.
4. We know, that x is 772.5% of the output value, so we can write it down as x=772.5%.
5. Now we have two simple equations:
1) 1000=100%
2) x=772.5%
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:
1000/x=100%/772.5%
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 772.5% of 1000

1000/x=100/772.5
(1000/x)*x=(100/772.5)*x       - we multiply both sides of the equation by x
1000=0.1294498381877*x       - we divide both sides of the equation by (0.1294498381877) to get x
1000/0.1294498381877=x
7725=x
x=7725

now we have:
772.5% of 1000=7725