What is 83.75 percent of 33.5 - 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 33.5 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 33.5 is 100%, so we can write it down as 33.5=100%.
4. We know, that x is 83.75% of the output value, so we can write it down as x=83.75%.
5. Now we have two simple equations:
1) 33.5=100%
2) x=83.75%
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:
33.5/x=100%/83.75%
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 83.75% of 33.5

33.5/x=100/83.75
(33.5/x)*x=(100/83.75)*x       - we multiply both sides of the equation by x
33.5=1.1940298507463*x       - we divide both sides of the equation by (1.1940298507463) to get x
33.5/1.1940298507463=x
28.05625=x
x=28.05625

now we have:
83.75% of 33.5=28.05625