73.15 is what percent of 145.83 - 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 145.83 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 145.83, so we can write it down as 100%=145.83.
4. We know, that x% equals 73.15 of the output value, so we can write it down as x%=73.15.
5. Now we have two simple equations:
1) 100%=145.83
2) x%=73.15
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%=145.83/73.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.15 is what percent of 145.83

100%/x%=145.83/73.15
(100/x)*x=(145.83/73.15)*x       - we multiply both sides of the equation by x
100=1.9935748462064*x       - we divide both sides of the equation by (1.9935748462064) to get x
100/1.9935748462064=x
50.161146540492=x
x=50.161146540492

now we have:
73.15 is 50.161146540492% of 145.83