16.1 is what percent of 15.915 - 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 15.915 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 15.915, so we can write it down as 100%=15.915.
4. We know, that x% equals 16.1 of the output value, so we can write it down as x%=16.1.
5. Now we have two simple equations:
1) 100%=15.915
2) x%=16.1
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%=15.915/16.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.1 is what percent of 15.915

100%/x%=15.915/16.1
(100/x)*x=(15.915/16.1)*x       - we multiply both sides of the equation by x
100=0.98850931677019*x       - we divide both sides of the equation by (0.98850931677019) to get x
100/0.98850931677019=x
101.16242538486=x
x=101.16242538486

now we have:
16.1 is 101.16242538486% of 15.915