What is 1.824 percent of 15.2 - 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 15.2 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 15.2 is 100%, so we can write it down as 15.2=100%.
4. We know, that x is 1.824% of the output value, so we can write it down as x=1.824%.
5. Now we have two simple equations:
1) 15.2=100%
2) x=1.824%
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:
15.2/x=100%/1.824%
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 1.824% of 15.2

15.2/x=100/1.824
(15.2/x)*x=(100/1.824)*x       - we multiply both sides of the equation by x
15.2=54.824561403509*x       - we divide both sides of the equation by (54.824561403509) to get x
15.2/54.824561403509=x
0.277248=x
x=0.277248

now we have:
1.824% of 15.2=0.277248