What is 163.97 percent of 187.5 - 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 187.5 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 187.5 is 100%, so we can write it down as 187.5=100%.
4. We know, that x is 163.97% of the output value, so we can write it down as x=163.97%.
5. Now we have two simple equations:
1) 187.5=100%
2) x=163.97%
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:
187.5/x=100%/163.97%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 163.97% of 187.5

187.5/x=100/163.97
(187.5/x)*x=(100/163.97)*x       - we multiply both sides of the equation by x
187.5=0.60986765871806*x       - we divide both sides of the equation by (0.60986765871806) to get x
187.5/0.60986765871806=x
307.44375=x
x=307.44375

now we have:
163.97% of 187.5=307.44375