150.37 is what percent of 153.17 - 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 153.17 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 153.17, so we can write it down as 100%=153.17.
4. We know, that x% equals 150.37 of the output value, so we can write it down as x%=150.37.
5. Now we have two simple equations:
1) 100%=153.17
2) x%=150.37
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%=153.17/150.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.37 is what percent of 153.17

100%/x%=153.17/150.37
(100/x)*x=(153.17/150.37)*x       - we multiply both sides of the equation by x
100=1.0186207355191*x       - we divide both sides of the equation by (1.0186207355191) to get x
100/1.0186207355191=x
98.171965789646=x
x=98.171965789646

now we have:
150.37 is 98.171965789646% of 153.17