15.61 is what percent of 18.36 - 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 18.36 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 18.36, so we can write it down as 100%=18.36.
4. We know, that x% equals 15.61 of the output value, so we can write it down as x%=15.61.
5. Now we have two simple equations:
1) 100%=18.36
2) x%=15.61
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%=18.36/15.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.61 is what percent of 18.36

100%/x%=18.36/15.61
(100/x)*x=(18.36/15.61)*x       - we multiply both sides of the equation by x
100=1.1761691223575*x       - we divide both sides of the equation by (1.1761691223575) to get x
100/1.1761691223575=x
85.021786492375=x
x=85.021786492375

now we have:
15.61 is 85.021786492375% of 18.36