828.13 is what percent of 6625 - 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 6625 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 100% equals 6625, so we can write it down as 100%=6625.
4. We know, that x% equals 828.13 of the output value, so we can write it down as x%=828.13.
5. Now we have two simple equations:
1) 100%=6625
2) x%=828.13
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:
100%/x%=6625/828.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 828.13 is what percent of 6625

100%/x%=6625/828.13
(100/x)*x=(6625/828.13)*x       - we multiply both sides of the equation by x
100=7.9999516984048*x       - we divide both sides of the equation by (7.9999516984048) to get x
100/7.9999516984048=x
12.500075471698=x
x=12.500075471698

now we have:
828.13 is 12.500075471698% of 6625