What is 8.75 percent of 468.95 - 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 468.95 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 468.95 is 100%, so we can write it down as 468.95=100%.
4. We know, that x is 8.75% of the output value, so we can write it down as x=8.75%.
5. Now we have two simple equations:
1) 468.95=100%
2) x=8.75%
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:
468.95/x=100%/8.75%
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 8.75% of 468.95

468.95/x=100/8.75
(468.95/x)*x=(100/8.75)*x       - we multiply both sides of the equation by x
468.95=11.428571428571*x       - we divide both sides of the equation by (11.428571428571) to get x
468.95/11.428571428571=x
41.033125=x
x=41.033125

now we have:
8.75% of 468.95=41.033125