12.22 is what percent of 455.3 - 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 455.3 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 455.3, so we can write it down as 100%=455.3.
4. We know, that x% equals 12.22 of the output value, so we can write it down as x%=12.22.
5. Now we have two simple equations:
1) 100%=455.3
2) x%=12.22
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%=455.3/12.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.22 is what percent of 455.3

100%/x%=455.3/12.22
(100/x)*x=(455.3/12.22)*x       - we multiply both sides of the equation by x
100=37.258592471358*x       - we divide both sides of the equation by (37.258592471358) to get x
100/37.258592471358=x
2.6839446518779=x
x=2.6839446518779

now we have:
12.22 is 2.6839446518779% of 455.3