6 is what percent of 11.2 - 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 11.2 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 11.2, so we can write it down as 100%=11.2.
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%=11.2
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%=11.2/6
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 11.2

100%/x%=11.2/6
(100/x)*x=(11.2/6)*x       - we multiply both sides of the equation by x
100=1.8666666666667*x       - we divide both sides of the equation by (1.8666666666667) to get x
100/1.8666666666667=x
53.571428571429=x
x=53.571428571429

now we have:
6 is 53.571428571429% of 11.2