12.2 is what percent of 223.1 - 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 223.1 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 223.1, so we can write it down as 100%=223.1.
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%=223.1
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%=223.1/12.2
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 223.1

100%/x%=223.1/12.2
(100/x)*x=(223.1/12.2)*x       - we multiply both sides of the equation by x
100=18.286885245902*x       - we divide both sides of the equation by (18.286885245902) to get x
100/18.286885245902=x
5.4683998207082=x
x=5.4683998207082

now we have:
12.2 is 5.4683998207082% of 223.1