8 is what percent of 2341 - 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 2341 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 2341, so we can write it down as 100%=2341.
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%=2341
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%=2341/8
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 2341

100%/x%=2341/8
(100/x)*x=(2341/8)*x       - we multiply both sides of the equation by x
100=292.625*x       - we divide both sides of the equation by (292.625) to get x
100/292.625=x
0.34173430158052=x
x=0.34173430158052

now we have:
8 is 0.34173430158052% of 2341