154.02 is what percent of 360 - 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 360 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 360, so we can write it down as 100%=360.
4. We know, that x% equals 154.02 of the output value, so we can write it down as x%=154.02.
5. Now we have two simple equations:
1) 100%=360
2) x%=154.02
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%=360/154.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.02 is what percent of 360

100%/x%=360/154.02
(100/x)*x=(360/154.02)*x       - we multiply both sides of the equation by x
100=2.3373587845734*x       - we divide both sides of the equation by (2.3373587845734) to get x
100/2.3373587845734=x
42.783333333333=x
x=42.783333333333

now we have:
154.02 is 42.783333333333% of 360