What is 975 percent of 825 - 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 825 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 825 is 100%, so we can write it down as 825=100%.
4. We know, that x is 975% of the output value, so we can write it down as x=975%.
5. Now we have two simple equations:
1) 825=100%
2) x=975%
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:
825/x=100%/975%
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 975% of 825

825/x=100/975
(825/x)*x=(100/975)*x       - we multiply both sides of the equation by x
825=0.1025641025641*x       - we divide both sides of the equation by (0.1025641025641) to get x
825/0.1025641025641=x
8043.75=x
x=8043.75

now we have:
975% of 825=8043.75