What is 12.585 percent of 228 - 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 228 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 228 is 100%, so we can write it down as 228=100%.
4. We know, that x is 12.585% of the output value, so we can write it down as x=12.585%.
5. Now we have two simple equations:
1) 228=100%
2) x=12.585%
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:
228/x=100%/12.585%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 12.585% of 228

228/x=100/12.585
(228/x)*x=(100/12.585)*x       - we multiply both sides of the equation by x
228=7.9459674215336*x       - we divide both sides of the equation by (7.9459674215336) to get x
228/7.9459674215336=x
28.6938=x
x=28.6938

now we have:
12.585% of 228=28.6938