What is 108.5 percent of 159.5 - 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 159.5 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 159.5 is 100%, so we can write it down as 159.5=100%.
4. We know, that x is 108.5% of the output value, so we can write it down as x=108.5%.
5. Now we have two simple equations:
1) 159.5=100%
2) x=108.5%
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:
159.5/x=100%/108.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 108.5% of 159.5

159.5/x=100/108.5
(159.5/x)*x=(100/108.5)*x       - we multiply both sides of the equation by x
159.5=0.92165898617512*x       - we divide both sides of the equation by (0.92165898617512) to get x
159.5/0.92165898617512=x
173.0575=x
x=173.0575

now we have:
108.5% of 159.5=173.0575