30.5 is what percent of 1023 - 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 1023 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 1023, so we can write it down as 100%=1023.
4. We know, that x% equals 30.5 of the output value, so we can write it down as x%=30.5.
5. Now we have two simple equations:
1) 100%=1023
2) x%=30.5
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%=1023/30.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.5 is what percent of 1023

100%/x%=1023/30.5
(100/x)*x=(1023/30.5)*x       - we multiply both sides of the equation by x
100=33.540983606557*x       - we divide both sides of the equation by (33.540983606557) to get x
100/33.540983606557=x
2.9814271749756=x
x=2.9814271749756

now we have:
30.5 is 2.9814271749756% of 1023