What is 245.48 percent of 1000.4 - 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 1000.4 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 1000.4 is 100%, so we can write it down as 1000.4=100%.
4. We know, that x is 245.48% of the output value, so we can write it down as x=245.48%.
5. Now we have two simple equations:
1) 1000.4=100%
2) x=245.48%
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:
1000.4/x=100%/245.48%
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 245.48% of 1000.4

1000.4/x=100/245.48
(1000.4/x)*x=(100/245.48)*x       - we multiply both sides of the equation by x
1000.4=0.40736516213133*x       - we divide both sides of the equation by (0.40736516213133) to get x
1000.4/0.40736516213133=x
2455.78192=x
x=2455.78192

now we have:
245.48% of 1000.4=2455.78192