What is 7.5 percent of 4.56 - 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 4.56 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 4.56 is 100%, so we can write it down as 4.56=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) 4.56=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:
4.56/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 4.56

4.56/x=100/7.5
(4.56/x)*x=(100/7.5)*x       - we multiply both sides of the equation by x
4.56=13.333333333333*x       - we divide both sides of the equation by (13.333333333333) to get x
4.56/13.333333333333=x
0.342=x
x=0.342

now we have:
7.5% of 4.56=0.342