8 is what percent of 1673 - 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 1673 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 1673, so we can write it down as 100%=1673.
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%=1673
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%=1673/8
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 1673

100%/x%=1673/8
(100/x)*x=(1673/8)*x       - we multiply both sides of the equation by x
100=209.125*x       - we divide both sides of the equation by (209.125) to get x
100/209.125=x
0.47818290496115=x
x=0.47818290496115

now we have:
8 is 0.47818290496115% of 1673