55966.8 is what percent of 150000 - 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 150000 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 150000, so we can write it down as 100%=150000.
4. We know, that x% equals 55966.8 of the output value, so we can write it down as x%=55966.8.
5. Now we have two simple equations:
1) 100%=150000
2) x%=55966.8
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%=150000/55966.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55966.8 is what percent of 150000

100%/x%=150000/55966.8
(100/x)*x=(150000/55966.8)*x       - we multiply both sides of the equation by x
100=2.6801603807972*x       - we divide both sides of the equation by (2.6801603807972) to get x
100/2.6801603807972=x
37.3112=x
x=37.3112

now we have:
55966.8 is 37.3112% of 150000