99.45 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 99.45 of the output value, so we can write it down as x%=99.45.
5. Now we have two simple equations:
1) 100%=250
2) x%=99.45
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%=250/99.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.45 is what percent of 250

100%/x%=250/99.45
(100/x)*x=(250/99.45)*x       - we multiply both sides of the equation by x
100=2.5138260432378*x       - we divide both sides of the equation by (2.5138260432378) to get x
100/2.5138260432378=x
39.78=x
x=39.78

now we have:
99.45 is 39.78% of 250