15.92 is what percent of 16.36 - 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 16.36 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 16.36, so we can write it down as 100%=16.36.
4. We know, that x% equals 15.92 of the output value, so we can write it down as x%=15.92.
5. Now we have two simple equations:
1) 100%=16.36
2) x%=15.92
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%=16.36/15.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.92 is what percent of 16.36

100%/x%=16.36/15.92
(100/x)*x=(16.36/15.92)*x       - we multiply both sides of the equation by x
100=1.0276381909548*x       - we divide both sides of the equation by (1.0276381909548) to get x
100/1.0276381909548=x
97.310513447433=x
x=97.310513447433

now we have:
15.92 is 97.310513447433% of 16.36