What is 35.34 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 35.34% of the output value, so we can write it down as x=35.34%.
5. Now we have two simple equations:
1) 23.25=100%
2) x=35.34%
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%/35.34%
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 35.34% of 23.25

23.25/x=100/35.34
(23.25/x)*x=(100/35.34)*x       - we multiply both sides of the equation by x
23.25=2.8296547821166*x       - we divide both sides of the equation by (2.8296547821166) to get x
23.25/2.8296547821166=x
8.21655=x
x=8.21655

now we have:
35.34% of 23.25=8.21655