8 is what percent of 2253 - 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 2253 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 2253, so we can write it down as 100%=2253.
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%=2253
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%=2253/8
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 2253

100%/x%=2253/8
(100/x)*x=(2253/8)*x       - we multiply both sides of the equation by x
100=281.625*x       - we divide both sides of the equation by (281.625) to get x
100/281.625=x
0.355082112739=x
x=0.355082112739

now we have:
8 is 0.355082112739% of 2253