6 is what percent of 1123.6 - 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 1123.6 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 1123.6, so we can write it down as 100%=1123.6.
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%=1123.6
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%=1123.6/6
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 1123.6

100%/x%=1123.6/6
(100/x)*x=(1123.6/6)*x       - we multiply both sides of the equation by x
100=187.26666666667*x       - we divide both sides of the equation by (187.26666666667) to get x
100/187.26666666667=x
0.53399786400854=x
x=0.53399786400854

now we have:
6 is 0.53399786400854% of 1123.6