145.08 is what percent of 1612.11 - 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 1612.11 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 1612.11, so we can write it down as 100%=1612.11.
4. We know, that x% equals 145.08 of the output value, so we can write it down as x%=145.08.
5. Now we have two simple equations:
1) 100%=1612.11
2) x%=145.08
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%=1612.11/145.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.08 is what percent of 1612.11

100%/x%=1612.11/145.08
(100/x)*x=(1612.11/145.08)*x       - we multiply both sides of the equation by x
100=11.111869313482*x       - we divide both sides of the equation by (11.111869313482) to get x
100/11.111869313482=x
8.9993858979846=x
x=8.9993858979846

now we have:
145.08 is 8.9993858979846% of 1612.11