What is 56.95 percent of 83.75 - 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 83.75 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 83.75 is 100%, so we can write it down as 83.75=100%.
4. We know, that x is 56.95% of the output value, so we can write it down as x=56.95%.
5. Now we have two simple equations:
1) 83.75=100%
2) x=56.95%
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:
83.75/x=100%/56.95%
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 56.95% of 83.75

83.75/x=100/56.95
(83.75/x)*x=(100/56.95)*x       - we multiply both sides of the equation by x
83.75=1.7559262510975*x       - we divide both sides of the equation by (1.7559262510975) to get x
83.75/1.7559262510975=x
47.695625=x
x=47.695625

now we have:
56.95% of 83.75=47.695625