22.12 is what percent of 322.12 - 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 322.12 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 322.12, so we can write it down as 100%=322.12.
4. We know, that x% equals 22.12 of the output value, so we can write it down as x%=22.12.
5. Now we have two simple equations:
1) 100%=322.12
2) x%=22.12
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%=322.12/22.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.12 is what percent of 322.12

100%/x%=322.12/22.12
(100/x)*x=(322.12/22.12)*x       - we multiply both sides of the equation by x
100=14.562386980108*x       - we divide both sides of the equation by (14.562386980108) to get x
100/14.562386980108=x
6.8670060846889=x
x=6.8670060846889

now we have:
22.12 is 6.8670060846889% of 322.12