What is 8.375 percent of 575 - 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 575 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 575 is 100%, so we can write it down as 575=100%.
4. We know, that x is 8.375% of the output value, so we can write it down as x=8.375%.
5. Now we have two simple equations:
1) 575=100%
2) x=8.375%
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:
575/x=100%/8.375%
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 8.375% of 575

575/x=100/8.375
(575/x)*x=(100/8.375)*x       - we multiply both sides of the equation by x
575=11.940298507463*x       - we divide both sides of the equation by (11.940298507463) to get x
575/11.940298507463=x
48.15625=x
x=48.15625

now we have:
8.375% of 575=48.15625