What is 460 percent of 2.5 - 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 2.5 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 2.5 is 100%, so we can write it down as 2.5=100%.
4. We know, that x is 460% of the output value, so we can write it down as x=460%.
5. Now we have two simple equations:
1) 2.5=100%
2) x=460%
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:
2.5/x=100%/460%
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 460% of 2.5

2.5/x=100/460
(2.5/x)*x=(100/460)*x       - we multiply both sides of the equation by x
2.5=0.21739130434783*x       - we divide both sides of the equation by (0.21739130434783) to get x
2.5/0.21739130434783=x
11.5=x
x=11.5

now we have:
460% of 2.5=11.5