6 is what percent of 5624 - 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 5624 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 5624, so we can write it down as 100%=5624.
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%=5624
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%=5624/6
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 5624

100%/x%=5624/6
(100/x)*x=(5624/6)*x       - we multiply both sides of the equation by x
100=937.33333333333*x       - we divide both sides of the equation by (937.33333333333) to get x
100/937.33333333333=x
0.10668563300142=x
x=0.10668563300142

now we have:
6 is 0.10668563300142% of 5624