148.61 is what percent of 110.16 - 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 110.16 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 110.16, so we can write it down as 100%=110.16.
4. We know, that x% equals 148.61 of the output value, so we can write it down as x%=148.61.
5. Now we have two simple equations:
1) 100%=110.16
2) x%=148.61
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%=110.16/148.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.61 is what percent of 110.16

100%/x%=110.16/148.61
(100/x)*x=(110.16/148.61)*x       - we multiply both sides of the equation by x
100=0.7412690936007*x       - we divide both sides of the equation by (0.7412690936007) to get x
100/0.7412690936007=x
134.90377632534=x
x=134.90377632534

now we have:
148.61 is 134.90377632534% of 110.16