6 is what percent of 4458 - 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 4458 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 4458, so we can write it down as 100%=4458.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=4458
2) x%=6
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%=4458/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 4458

100%/x%=4458/6
(100/x)*x=(4458/6)*x       - we multiply both sides of the equation by x
100=743*x       - we divide both sides of the equation by (743) to get x
100/743=x
0.13458950201884=x
x=0.13458950201884

now we have:
6 is 0.13458950201884% of 4458