252.3 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 252.3 of the output value, so we can write it down as x%=252.3.
5. Now we have two simple equations:
1) 100%=250
2) x%=252.3
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%=250/252.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.3 is what percent of 250

100%/x%=250/252.3
(100/x)*x=(250/252.3)*x       - we multiply both sides of the equation by x
100=0.99088386841062*x       - we divide both sides of the equation by (0.99088386841062) to get x
100/0.99088386841062=x
100.92=x
x=100.92

now we have:
252.3 is 100.92% of 250