What is 6.25 percent of 8175 - 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 8175 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 8175 is 100%, so we can write it down as 8175=100%.
4. We know, that x is 6.25% of the output value, so we can write it down as x=6.25%.
5. Now we have two simple equations:
1) 8175=100%
2) x=6.25%
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:
8175/x=100%/6.25%
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 6.25% of 8175

8175/x=100/6.25
(8175/x)*x=(100/6.25)*x       - we multiply both sides of the equation by x
8175=16*x       - we divide both sides of the equation by (16) to get x
8175/16=x
510.9375=x
x=510.9375

now we have:
6.25% of 8175=510.9375