What is 2.4 percent of 37.2 - 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 37.2 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 37.2 is 100%, so we can write it down as 37.2=100%.
4. We know, that x is 2.4% of the output value, so we can write it down as x=2.4%.
5. Now we have two simple equations:
1) 37.2=100%
2) x=2.4%
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:
37.2/x=100%/2.4%
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 2.4% of 37.2

37.2/x=100/2.4
(37.2/x)*x=(100/2.4)*x       - we multiply both sides of the equation by x
37.2=41.666666666667*x       - we divide both sides of the equation by (41.666666666667) to get x
37.2/41.666666666667=x
0.8928=x
x=0.8928

now we have:
2.4% of 37.2=0.8928