42923.5 is what percent of 80295 - 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 80295 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 80295, so we can write it down as 100%=80295.
4. We know, that x% equals 42923.5 of the output value, so we can write it down as x%=42923.5.
5. Now we have two simple equations:
1) 100%=80295
2) x%=42923.5
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%=80295/42923.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42923.5 is what percent of 80295

100%/x%=80295/42923.5
(100/x)*x=(80295/42923.5)*x       - we multiply both sides of the equation by x
100=1.8706536046688*x       - we divide both sides of the equation by (1.8706536046688) to get x
100/1.8706536046688=x
53.457251385516=x
x=53.457251385516

now we have:
42923.5 is 53.457251385516% of 80295