229.59 is what percent of 8.875 - 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 8.875 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 8.875, so we can write it down as 100%=8.875.
4. We know, that x% equals 229.59 of the output value, so we can write it down as x%=229.59.
5. Now we have two simple equations:
1) 100%=8.875
2) x%=229.59
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%=8.875/229.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.59 is what percent of 8.875

100%/x%=8.875/229.59
(100/x)*x=(8.875/229.59)*x       - we multiply both sides of the equation by x
100=0.038655864802474*x       - we divide both sides of the equation by (0.038655864802474) to get x
100/0.038655864802474=x
2586.9295774648=x
x=2586.9295774648

now we have:
229.59 is 2586.9295774648% of 8.875