12.2 is what percent of 556 - 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 556 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 556, so we can write it down as 100%=556.
4. We know, that x% equals 12.2 of the output value, so we can write it down as x%=12.2.
5. Now we have two simple equations:
1) 100%=556
2) x%=12.2
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%=556/12.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.2 is what percent of 556

100%/x%=556/12.2
(100/x)*x=(556/12.2)*x       - we multiply both sides of the equation by x
100=45.573770491803*x       - we divide both sides of the equation by (45.573770491803) to get x
100/45.573770491803=x
2.1942446043165=x
x=2.1942446043165

now we have:
12.2 is 2.1942446043165% of 556