What is 29.76 percent of 23.25 - 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 23.25 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 23.25 is 100%, so we can write it down as 23.25=100%.
4. We know, that x is 29.76% of the output value, so we can write it down as x=29.76%.
5. Now we have two simple equations:
1) 23.25=100%
2) x=29.76%
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:
23.25/x=100%/29.76%
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 29.76% of 23.25

23.25/x=100/29.76
(23.25/x)*x=(100/29.76)*x       - we multiply both sides of the equation by x
23.25=3.3602150537634*x       - we divide both sides of the equation by (3.3602150537634) to get x
23.25/3.3602150537634=x
6.9192=x
x=6.9192

now we have:
29.76% of 23.25=6.9192