What is 1007.5 percent of 3024.1 - 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 3024.1 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 3024.1 is 100%, so we can write it down as 3024.1=100%.
4. We know, that x is 1007.5% of the output value, so we can write it down as x=1007.5%.
5. Now we have two simple equations:
1) 3024.1=100%
2) x=1007.5%
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:
3024.1/x=100%/1007.5%
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 1007.5% of 3024.1

3024.1/x=100/1007.5
(3024.1/x)*x=(100/1007.5)*x       - we multiply both sides of the equation by x
3024.1=0.099255583126551*x       - we divide both sides of the equation by (0.099255583126551) to get x
3024.1/0.099255583126551=x
30467.8075=x
x=30467.8075

now we have:
1007.5% of 3024.1=30467.8075