1023.83 is what percent of 3102.5 - 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 3102.5 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 3102.5, so we can write it down as 100%=3102.5.
4. We know, that x% equals 1023.83 of the output value, so we can write it down as x%=1023.83.
5. Now we have two simple equations:
1) 100%=3102.5
2) x%=1023.83
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%=3102.5/1023.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1023.83 is what percent of 3102.5

100%/x%=3102.5/1023.83
(100/x)*x=(3102.5/1023.83)*x       - we multiply both sides of the equation by x
100=3.0302882314447*x       - we divide both sides of the equation by (3.0302882314447) to get x
100/3.0302882314447=x
33.000161160355=x
x=33.000161160355

now we have:
1023.83 is 33.000161160355% of 3102.5