242.3 is what percent of 440.5 - 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 440.5 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 440.5, so we can write it down as 100%=440.5.
4. We know, that x% equals 242.3 of the output value, so we can write it down as x%=242.3.
5. Now we have two simple equations:
1) 100%=440.5
2) x%=242.3
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%=440.5/242.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.3 is what percent of 440.5

100%/x%=440.5/242.3
(100/x)*x=(440.5/242.3)*x       - we multiply both sides of the equation by x
100=1.8179942220388*x       - we divide both sides of the equation by (1.8179942220388) to get x
100/1.8179942220388=x
55.005675368899=x
x=55.005675368899

now we have:
242.3 is 55.005675368899% of 440.5