8 is what percent of 224000 - 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 224000 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 224000, so we can write it down as 100%=224000.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=224000
2) x%=8
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%=224000/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 224000

100%/x%=224000/8
(100/x)*x=(224000/8)*x       - we multiply both sides of the equation by x
100=28000*x       - we divide both sides of the equation by (28000) to get x
100/28000=x
0.0035714285714286=x
x=0.0035714285714286

now we have:
8 is 0.0035714285714286% of 224000