150.1 is what percent of 180.8 - 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 180.8 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 180.8, so we can write it down as 100%=180.8.
4. We know, that x% equals 150.1 of the output value, so we can write it down as x%=150.1.
5. Now we have two simple equations:
1) 100%=180.8
2) x%=150.1
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%=180.8/150.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.1 is what percent of 180.8

100%/x%=180.8/150.1
(100/x)*x=(180.8/150.1)*x       - we multiply both sides of the equation by x
100=1.2045303131246*x       - we divide both sides of the equation by (1.2045303131246) to get x
100/1.2045303131246=x
83.019911504425=x
x=83.019911504425

now we have:
150.1 is 83.019911504425% of 180.8