16855.21 is what percent of 13.5 - 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 13.5 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 13.5, so we can write it down as 100%=13.5.
4. We know, that x% equals 16855.21 of the output value, so we can write it down as x%=16855.21.
5. Now we have two simple equations:
1) 100%=13.5
2) x%=16855.21
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%=13.5/16855.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16855.21 is what percent of 13.5

100%/x%=13.5/16855.21
(100/x)*x=(13.5/16855.21)*x       - we multiply both sides of the equation by x
100=0.0008009392941411*x       - we divide both sides of the equation by (0.0008009392941411) to get x
100/0.0008009392941411=x
124853.40740741=x
x=124853.40740741

now we have:
16855.21 is 124853.40740741% of 13.5