What is 104.2 percent of 419.45 - 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 419.45 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 419.45 is 100%, so we can write it down as 419.45=100%.
4. We know, that x is 104.2% of the output value, so we can write it down as x=104.2%.
5. Now we have two simple equations:
1) 419.45=100%
2) x=104.2%
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:
419.45/x=100%/104.2%
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 104.2% of 419.45

419.45/x=100/104.2
(419.45/x)*x=(100/104.2)*x       - we multiply both sides of the equation by x
419.45=0.95969289827255*x       - we divide both sides of the equation by (0.95969289827255) to get x
419.45/0.95969289827255=x
437.0669=x
x=437.0669

now we have:
104.2% of 419.45=437.0669