What is 7.5 percent of 34.56 - 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 34.56 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 34.56 is 100%, so we can write it down as 34.56=100%.
4. We know, that x is 7.5% of the output value, so we can write it down as x=7.5%.
5. Now we have two simple equations:
1) 34.56=100%
2) x=7.5%
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:
34.56/x=100%/7.5%
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 7.5% of 34.56

34.56/x=100/7.5
(34.56/x)*x=(100/7.5)*x       - we multiply both sides of the equation by x
34.56=13.333333333333*x       - we divide both sides of the equation by (13.333333333333) to get x
34.56/13.333333333333=x
2.592=x
x=2.592

now we have:
7.5% of 34.56=2.592