8 is what percent of 14843 - 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 14843 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 14843, so we can write it down as 100%=14843.
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%=14843
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%=14843/8
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 14843

100%/x%=14843/8
(100/x)*x=(14843/8)*x       - we multiply both sides of the equation by x
100=1855.375*x       - we divide both sides of the equation by (1855.375) to get x
100/1855.375=x
0.053897460082194=x
x=0.053897460082194

now we have:
8 is 0.053897460082194% of 14843