30.83 is what percent of 1630.5 - 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 1630.5 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 1630.5, so we can write it down as 100%=1630.5.
4. We know, that x% equals 30.83 of the output value, so we can write it down as x%=30.83.
5. Now we have two simple equations:
1) 100%=1630.5
2) x%=30.83
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%=1630.5/30.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.83 is what percent of 1630.5

100%/x%=1630.5/30.83
(100/x)*x=(1630.5/30.83)*x       - we multiply both sides of the equation by x
100=52.886798572819*x       - we divide both sides of the equation by (52.886798572819) to get x
100/52.886798572819=x
1.8908310334253=x
x=1.8908310334253

now we have:
30.83 is 1.8908310334253% of 1630.5