159.5 is what percent of 164.75 - 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 164.75 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 164.75, so we can write it down as 100%=164.75.
4. We know, that x% equals 159.5 of the output value, so we can write it down as x%=159.5.
5. Now we have two simple equations:
1) 100%=164.75
2) x%=159.5
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:
100%/x%=164.75/159.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.5 is what percent of 164.75

100%/x%=164.75/159.5
(100/x)*x=(164.75/159.5)*x       - we multiply both sides of the equation by x
100=1.0329153605016*x       - we divide both sides of the equation by (1.0329153605016) to get x
100/1.0329153605016=x
96.813353566009=x
x=96.813353566009

now we have:
159.5 is 96.813353566009% of 164.75