22.23 is what percent of 180.23 - 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 180.23 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 180.23, so we can write it down as 100%=180.23.
4. We know, that x% equals 22.23 of the output value, so we can write it down as x%=22.23.
5. Now we have two simple equations:
1) 100%=180.23
2) x%=22.23
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%=180.23/22.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.23 is what percent of 180.23

100%/x%=180.23/22.23
(100/x)*x=(180.23/22.23)*x       - we multiply both sides of the equation by x
100=8.1075123706703*x       - we divide both sides of the equation by (8.1075123706703) to get x
100/8.1075123706703=x
12.334239582755=x
x=12.334239582755

now we have:
22.23 is 12.334239582755% of 180.23