15.5 is what percent of 69.1 - 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 69.1 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 69.1, so we can write it down as 100%=69.1.
4. We know, that x% equals 15.5 of the output value, so we can write it down as x%=15.5.
5. Now we have two simple equations:
1) 100%=69.1
2) x%=15.5
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%=69.1/15.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.5 is what percent of 69.1

100%/x%=69.1/15.5
(100/x)*x=(69.1/15.5)*x       - we multiply both sides of the equation by x
100=4.458064516129*x       - we divide both sides of the equation by (4.458064516129) to get x
100/4.458064516129=x
22.431259044863=x
x=22.431259044863

now we have:
15.5 is 22.431259044863% of 69.1