250.8 is what percent of 268.05 - 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 268.05 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 268.05, so we can write it down as 100%=268.05.
4. We know, that x% equals 250.8 of the output value, so we can write it down as x%=250.8.
5. Now we have two simple equations:
1) 100%=268.05
2) x%=250.8
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%=268.05/250.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.8 is what percent of 268.05

100%/x%=268.05/250.8
(100/x)*x=(268.05/250.8)*x       - we multiply both sides of the equation by x
100=1.0687799043062*x       - we divide both sides of the equation by (1.0687799043062) to get x
100/1.0687799043062=x
93.564633463906=x
x=93.564633463906

now we have:
250.8 is 93.564633463906% of 268.05