105.7 is what percent of 250 - 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 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, so we can write it down as 100%=250.
4. We know, that x% equals 105.7 of the output value, so we can write it down as x%=105.7.
5. Now we have two simple equations:
1) 100%=250
2) x%=105.7
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%=250/105.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.7 is what percent of 250

100%/x%=250/105.7
(100/x)*x=(250/105.7)*x       - we multiply both sides of the equation by x
100=2.3651844843898*x       - we divide both sides of the equation by (2.3651844843898) to get x
100/2.3651844843898=x
42.28=x
x=42.28

now we have:
105.7 is 42.28% of 250