23.4 is what percent of 240.4 - 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 240.4 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 240.4, so we can write it down as 100%=240.4.
4. We know, that x% equals 23.4 of the output value, so we can write it down as x%=23.4.
5. Now we have two simple equations:
1) 100%=240.4
2) x%=23.4
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%=240.4/23.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.4 is what percent of 240.4

100%/x%=240.4/23.4
(100/x)*x=(240.4/23.4)*x       - we multiply both sides of the equation by x
100=10.273504273504*x       - we divide both sides of the equation by (10.273504273504) to get x
100/10.273504273504=x
9.7337770382695=x
x=9.7337770382695

now we have:
23.4 is 9.7337770382695% of 240.4