4.94 is what percent of 8.375 - 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 8.375 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 100% equals 8.375, so we can write it down as 100%=8.375.
4. We know, that x% equals 4.94 of the output value, so we can write it down as x%=4.94.
5. Now we have two simple equations:
1) 100%=8.375
2) x%=4.94
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:
100%/x%=8.375/4.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.94 is what percent of 8.375

100%/x%=8.375/4.94
(100/x)*x=(8.375/4.94)*x       - we multiply both sides of the equation by x
100=1.6953441295547*x       - we divide both sides of the equation by (1.6953441295547) to get x
100/1.6953441295547=x
58.985074626866=x
x=58.985074626866

now we have:
4.94 is 58.985074626866% of 8.375