149.57 is what percent of 171.5 - 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 171.5 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 171.5, so we can write it down as 100%=171.5.
4. We know, that x% equals 149.57 of the output value, so we can write it down as x%=149.57.
5. Now we have two simple equations:
1) 100%=171.5
2) x%=149.57
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%=171.5/149.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.57 is what percent of 171.5

100%/x%=171.5/149.57
(100/x)*x=(171.5/149.57)*x       - we multiply both sides of the equation by x
100=1.1466203115598*x       - we divide both sides of the equation by (1.1466203115598) to get x
100/1.1466203115598=x
87.212827988338=x
x=87.212827988338

now we have:
149.57 is 87.212827988338% of 171.5