149.37 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 149.37 of the output value, so we can write it down as x%=149.37.
5. Now we have two simple equations:
1) 100%=171.5
2) x%=149.37
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%=171.5/149.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.37 is what percent of 171.5

100%/x%=171.5/149.37
(100/x)*x=(171.5/149.37)*x       - we multiply both sides of the equation by x
100=1.1481555867979*x       - we divide both sides of the equation by (1.1481555867979) to get x
100/1.1481555867979=x
87.096209912536=x
x=87.096209912536

now we have:
149.37 is 87.096209912536% of 171.5