22 is what percent of 2042 - 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 2042 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 2042, so we can write it down as 100%=2042.
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%=2042
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%=2042/22
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 2042

100%/x%=2042/22
(100/x)*x=(2042/22)*x       - we multiply both sides of the equation by x
100=92.818181818182*x       - we divide both sides of the equation by (92.818181818182) to get x
100/92.818181818182=x
1.077375122429=x
x=1.077375122429

now we have:
22 is 1.077375122429% of 2042