8 is what percent of 1606 - 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 1606 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 1606, so we can write it down as 100%=1606.
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%=1606
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%=1606/8
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 1606

100%/x%=1606/8
(100/x)*x=(1606/8)*x       - we multiply both sides of the equation by x
100=200.75*x       - we divide both sides of the equation by (200.75) to get x
100/200.75=x
0.49813200498132=x
x=0.49813200498132

now we have:
8 is 0.49813200498132% of 1606