What is 28.57 percent of 96.75 - 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 96.75 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 96.75 is 100%, so we can write it down as 96.75=100%.
4. We know, that x is 28.57% of the output value, so we can write it down as x=28.57%.
5. Now we have two simple equations:
1) 96.75=100%
2) x=28.57%
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:
96.75/x=100%/28.57%
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 28.57% of 96.75

96.75/x=100/28.57
(96.75/x)*x=(100/28.57)*x       - we multiply both sides of the equation by x
96.75=3.5001750087504*x       - we divide both sides of the equation by (3.5001750087504) to get x
96.75/3.5001750087504=x
27.641475=x
x=27.641475

now we have:
28.57% of 96.75=27.641475