8 is what percent of 1682 - 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 1682 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 1682, so we can write it down as 100%=1682.
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%=1682
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%=1682/8
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 1682

100%/x%=1682/8
(100/x)*x=(1682/8)*x       - we multiply both sides of the equation by x
100=210.25*x       - we divide both sides of the equation by (210.25) to get x
100/210.25=x
0.4756242568371=x
x=0.4756242568371

now we have:
8 is 0.4756242568371% of 1682