What is 65.625 percent of 93.75 - 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 93.75 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 93.75 is 100%, so we can write it down as 93.75=100%.
4. We know, that x is 65.625% of the output value, so we can write it down as x=65.625%.
5. Now we have two simple equations:
1) 93.75=100%
2) x=65.625%
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:
93.75/x=100%/65.625%
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 65.625% of 93.75

93.75/x=100/65.625
(93.75/x)*x=(100/65.625)*x       - we multiply both sides of the equation by x
93.75=1.5238095238095*x       - we divide both sides of the equation by (1.5238095238095) to get x
93.75/1.5238095238095=x
61.5234375=x
x=61.5234375

now we have:
65.625% of 93.75=61.5234375