240.23 is what percent of 1240.23 - 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 1240.23 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 1240.23, so we can write it down as 100%=1240.23.
4. We know, that x% equals 240.23 of the output value, so we can write it down as x%=240.23.
5. Now we have two simple equations:
1) 100%=1240.23
2) x%=240.23
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%=1240.23/240.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.23 is what percent of 1240.23

100%/x%=1240.23/240.23
(100/x)*x=(1240.23/240.23)*x       - we multiply both sides of the equation by x
100=5.1626774341256*x       - we divide both sides of the equation by (5.1626774341256) to get x
100/5.1626774341256=x
19.369794312345=x
x=19.369794312345

now we have:
240.23 is 19.369794312345% of 1240.23