15.83 is what percent of 30.46 - 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 30.46 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 30.46, so we can write it down as 100%=30.46.
4. We know, that x% equals 15.83 of the output value, so we can write it down as x%=15.83.
5. Now we have two simple equations:
1) 100%=30.46
2) x%=15.83
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%=30.46/15.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.83 is what percent of 30.46

100%/x%=30.46/15.83
(100/x)*x=(30.46/15.83)*x       - we multiply both sides of the equation by x
100=1.9241945672773*x       - we divide both sides of the equation by (1.9241945672773) to get x
100/1.9241945672773=x
51.969796454366=x
x=51.969796454366

now we have:
15.83 is 51.969796454366% of 30.46