What is 55.43 percent of 400.42 - 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 400.42 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 400.42 is 100%, so we can write it down as 400.42=100%.
4. We know, that x is 55.43% of the output value, so we can write it down as x=55.43%.
5. Now we have two simple equations:
1) 400.42=100%
2) x=55.43%
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:
400.42/x=100%/55.43%
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 55.43% of 400.42

400.42/x=100/55.43
(400.42/x)*x=(100/55.43)*x       - we multiply both sides of the equation by x
400.42=1.8040772145048*x       - we divide both sides of the equation by (1.8040772145048) to get x
400.42/1.8040772145048=x
221.952806=x
x=221.952806

now we have:
55.43% of 400.42=221.952806