22 is what percent of 1222 - 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 1222 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 1222, so we can write it down as 100%=1222.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=1222
2) x%=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%=1222/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 1222

100%/x%=1222/22
(100/x)*x=(1222/22)*x       - we multiply both sides of the equation by x
100=55.5454545455*x       - we divide both sides of the equation by (55.5454545455) to get x
100/55.5454545455=x
1.80032733224=x
x=1.80032733224

now we have:
22 is 1.80032733224% of 1222