What is 470 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 470% of the output value, so we can write it down as x=470%.
5. Now we have two simple equations:
1) 2.5=100%
2) x=470%
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%/470%
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 470% of 2.5

2.5/x=100/470
(2.5/x)*x=(100/470)*x       - we multiply both sides of the equation by x
2.5=0.21276595744681*x       - we divide both sides of the equation by (0.21276595744681) to get x
2.5/0.21276595744681=x
11.75=x
x=11.75

now we have:
470% of 2.5=11.75