312.48 is what percent of 243 - 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 243 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 243, so we can write it down as 100%=243.
4. We know, that x% equals 312.48 of the output value, so we can write it down as x%=312.48.
5. Now we have two simple equations:
1) 100%=243
2) x%=312.48
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%=243/312.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.48 is what percent of 243

100%/x%=243/312.48
(100/x)*x=(243/312.48)*x       - we multiply both sides of the equation by x
100=0.77764976958525*x       - we divide both sides of the equation by (0.77764976958525) to get x
100/0.77764976958525=x
128.59259259259=x
x=128.59259259259

now we have:
312.48 is 128.59259259259% of 243