103209.98 is what percent of 228209.98 - 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 228209.98 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 228209.98, so we can write it down as 100%=228209.98.
4. We know, that x% equals 103209.98 of the output value, so we can write it down as x%=103209.98.
5. Now we have two simple equations:
1) 100%=228209.98
2) x%=103209.98
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%=228209.98/103209.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103209.98 is what percent of 228209.98

100%/x%=228209.98/103209.98
(100/x)*x=(228209.98/103209.98)*x       - we multiply both sides of the equation by x
100=2.2111231878933*x       - we divide both sides of the equation by (2.2111231878933) to get x
100/2.2111231878933=x
45.225883635764=x
x=45.225883635764

now we have:
103209.98 is 45.225883635764% of 228209.98