What is 94.117647058824 percent of 7.875 - 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 7.875 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 7.875 is 100%, so we can write it down as 7.875=100%.
4. We know, that x is 94.117647058824% of the output value, so we can write it down as x=94.117647058824%.
5. Now we have two simple equations:
1) 7.875=100%
2) x=94.117647058824%
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:
7.875/x=100%/94.117647058824%
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 94.117647058824% of 7.875

7.875/x=100/94.117647058824
(7.875/x)*x=(100/94.117647058824)*x       - we multiply both sides of the equation by x
7.875=1.0625*x       - we divide both sides of the equation by (1.0625) to get x
7.875/1.0625=x
7.4117647058824=x
x=7.4117647058824

now we have:
94.117647058824% of 7.875=7.4117647058824