What is 23.75 percent of 27.5 - 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 27.5 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 27.5 is 100%, so we can write it down as 27.5=100%.
4. We know, that x is 23.75% of the output value, so we can write it down as x=23.75%.
5. Now we have two simple equations:
1) 27.5=100%
2) x=23.75%
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:
27.5/x=100%/23.75%
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 23.75% of 27.5

27.5/x=100/23.75
(27.5/x)*x=(100/23.75)*x       - we multiply both sides of the equation by x
27.5=4.2105263157895*x       - we divide both sides of the equation by (4.2105263157895) to get x
27.5/4.2105263157895=x
6.53125=x
x=6.53125

now we have:
23.75% of 27.5=6.53125