228.79 is what percent of 218.75 - 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 218.75 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 218.75, so we can write it down as 100%=218.75.
4. We know, that x% equals 228.79 of the output value, so we can write it down as x%=228.79.
5. Now we have two simple equations:
1) 100%=218.75
2) x%=228.79
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%=218.75/228.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.79 is what percent of 218.75

100%/x%=218.75/228.79
(100/x)*x=(218.75/228.79)*x       - we multiply both sides of the equation by x
100=0.95611696315398*x       - we divide both sides of the equation by (0.95611696315398) to get x
100/0.95611696315398=x
104.58971428571=x
x=104.58971428571

now we have:
228.79 is 104.58971428571% of 218.75