What is 6.625 percent of 7825 - 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 7825 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 7825 is 100%, so we can write it down as 7825=100%.
4. We know, that x is 6.625% of the output value, so we can write it down as x=6.625%.
5. Now we have two simple equations:
1) 7825=100%
2) x=6.625%
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:
7825/x=100%/6.625%
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 6.625% of 7825

7825/x=100/6.625
(7825/x)*x=(100/6.625)*x       - we multiply both sides of the equation by x
7825=15.094339622642*x       - we divide both sides of the equation by (15.094339622642) to get x
7825/15.094339622642=x
518.40625=x
x=518.40625

now we have:
6.625% of 7825=518.40625