6 is what percent of 112.2 - 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 112.2 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 112.2, so we can write it down as 100%=112.2.
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%=112.2
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%=112.2/6
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 112.2

100%/x%=112.2/6
(100/x)*x=(112.2/6)*x       - we multiply both sides of the equation by x
100=18.7*x       - we divide both sides of the equation by (18.7) to get x
100/18.7=x
5.3475935828877=x
x=5.3475935828877

now we have:
6 is 5.3475935828877% of 112.2