What is 864 percent of 1001 - 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 1001 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 1001 is 100%, so we can write it down as 1001=100%.
4. We know, that x is 864% of the output value, so we can write it down as x=864%.
5. Now we have two simple equations:
1) 1001=100%
2) x=864%
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:
1001/x=100%/864%
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 864% of 1001

1001/x=100/864
(1001/x)*x=(100/864)*x       - we multiply both sides of the equation by x
1001=0.11574074074074*x       - we divide both sides of the equation by (0.11574074074074) to get x
1001/0.11574074074074=x
8648.64=x
x=8648.64

now we have:
864% of 1001=8648.64