233.25 is what percent of 170.75 - 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 170.75 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 170.75, so we can write it down as 100%=170.75.
4. We know, that x% equals 233.25 of the output value, so we can write it down as x%=233.25.
5. Now we have two simple equations:
1) 100%=170.75
2) x%=233.25
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%=170.75/233.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.25 is what percent of 170.75

100%/x%=170.75/233.25
(100/x)*x=(170.75/233.25)*x       - we multiply both sides of the equation by x
100=0.73204715969989*x       - we divide both sides of the equation by (0.73204715969989) to get x
100/0.73204715969989=x
136.60322108346=x
x=136.60322108346

now we have:
233.25 is 136.60322108346% of 170.75