What is 1000 percent of 400.55 - 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 400.55 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 400.55 is 100%, so we can write it down as 400.55=100%.
4. We know, that x is 1000% of the output value, so we can write it down as x=1000%.
5. Now we have two simple equations:
1) 400.55=100%
2) x=1000%
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:
400.55/x=100%/1000%
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 1000% of 400.55

400.55/x=100/1000
(400.55/x)*x=(100/1000)*x       - we multiply both sides of the equation by x
400.55=0.1*x       - we divide both sides of the equation by (0.1) to get x
400.55/0.1=x
4005.5=x
x=4005.5

now we have:
1000% of 400.55=4005.5