What is 2.46 percent of 1579.6 - 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 1579.6 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 1579.6 is 100%, so we can write it down as 1579.6=100%.
4. We know, that x is 2.46% of the output value, so we can write it down as x=2.46%.
5. Now we have two simple equations:
1) 1579.6=100%
2) x=2.46%
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:
1579.6/x=100%/2.46%
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 2.46% of 1579.6

1579.6/x=100/2.46
(1579.6/x)*x=(100/2.46)*x       - we multiply both sides of the equation by x
1579.6=40.650406504065*x       - we divide both sides of the equation by (40.650406504065) to get x
1579.6/40.650406504065=x
38.85816=x
x=38.85816

now we have:
2.46% of 1579.6=38.85816