174.85 is what percent of 150.15 - 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 150.15 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 150.15, so we can write it down as 100%=150.15.
4. We know, that x% equals 174.85 of the output value, so we can write it down as x%=174.85.
5. Now we have two simple equations:
1) 100%=150.15
2) x%=174.85
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%=150.15/174.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.85 is what percent of 150.15

100%/x%=150.15/174.85
(100/x)*x=(150.15/174.85)*x       - we multiply both sides of the equation by x
100=0.85873605947955*x       - we divide both sides of the equation by (0.85873605947955) to get x
100/0.85873605947955=x
116.45021645022=x
x=116.45021645022

now we have:
174.85 is 116.45021645022% of 150.15