15.6 is what percent of 51.1 - 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 51.1 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 51.1, so we can write it down as 100%=51.1.
4. We know, that x% equals 15.6 of the output value, so we can write it down as x%=15.6.
5. Now we have two simple equations:
1) 100%=51.1
2) x%=15.6
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%=51.1/15.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.6 is what percent of 51.1

100%/x%=51.1/15.6
(100/x)*x=(51.1/15.6)*x       - we multiply both sides of the equation by x
100=3.275641025641*x       - we divide both sides of the equation by (3.275641025641) to get x
100/3.275641025641=x
30.528375733855=x
x=30.528375733855

now we have:
15.6 is 30.528375733855% of 51.1