46375.06 is what percent of 125000 - 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 125000 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 125000, so we can write it down as 100%=125000.
4. We know, that x% equals 46375.06 of the output value, so we can write it down as x%=46375.06.
5. Now we have two simple equations:
1) 100%=125000
2) x%=46375.06
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%=125000/46375.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46375.06 is what percent of 125000

100%/x%=125000/46375.06
(100/x)*x=(125000/46375.06)*x       - we multiply both sides of the equation by x
100=2.6954143024289*x       - we divide both sides of the equation by (2.6954143024289) to get x
100/2.6954143024289=x
37.100048=x
x=37.100048

now we have:
46375.06 is 37.100048% of 125000