170.25 is what percent of 250.75 - 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 250.75 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 250.75, so we can write it down as 100%=250.75.
4. We know, that x% equals 170.25 of the output value, so we can write it down as x%=170.25.
5. Now we have two simple equations:
1) 100%=250.75
2) x%=170.25
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%=250.75/170.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.25 is what percent of 250.75

100%/x%=250.75/170.25
(100/x)*x=(250.75/170.25)*x       - we multiply both sides of the equation by x
100=1.4728340675477*x       - we divide both sides of the equation by (1.4728340675477) to get x
100/1.4728340675477=x
67.8963110668=x
x=67.8963110668

now we have:
170.25 is 67.8963110668% of 250.75