What is 28.5 percent of 1.15 - 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 1.15 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 1.15 is 100%, so we can write it down as 1.15=100%.
4. We know, that x is 28.5% of the output value, so we can write it down as x=28.5%.
5. Now we have two simple equations:
1) 1.15=100%
2) x=28.5%
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:
1.15/x=100%/28.5%
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 28.5% of 1.15

1.15/x=100/28.5
(1.15/x)*x=(100/28.5)*x       - we multiply both sides of the equation by x
1.15=3.5087719298246*x       - we divide both sides of the equation by (3.5087719298246) to get x
1.15/3.5087719298246=x
0.32775=x
x=0.32775

now we have:
28.5% of 1.15=0.32775