46481.25 is what percent of 110663.6 - 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 110663.6 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 110663.6, so we can write it down as 100%=110663.6.
4. We know, that x% equals 46481.25 of the output value, so we can write it down as x%=46481.25.
5. Now we have two simple equations:
1) 100%=110663.6
2) x%=46481.25
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%=110663.6/46481.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46481.25 is what percent of 110663.6

100%/x%=110663.6/46481.25
(100/x)*x=(110663.6/46481.25)*x       - we multiply both sides of the equation by x
100=2.3808223746134*x       - we divide both sides of the equation by (2.3808223746134) to get x
100/2.3808223746134=x
42.002293437047=x
x=42.002293437047

now we have:
46481.25 is 42.002293437047% of 110663.6