149.8 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 149.8 of the output value, so we can write it down as x%=149.8.
5. Now we have two simple equations:
1) 100%=171.5
2) x%=149.8
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%=171.5/149.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.8 is what percent of 171.5

100%/x%=171.5/149.8
(100/x)*x=(171.5/149.8)*x       - we multiply both sides of the equation by x
100=1.1448598130841*x       - we divide both sides of the equation by (1.1448598130841) to get x
100/1.1448598130841=x
87.34693877551=x
x=87.34693877551

now we have:
149.8 is 87.34693877551% of 171.5