What is 28.425 percent of 420.8 - 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 420.8 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 420.8 is 100%, so we can write it down as 420.8=100%.
4. We know, that x is 28.425% of the output value, so we can write it down as x=28.425%.
5. Now we have two simple equations:
1) 420.8=100%
2) x=28.425%
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:
420.8/x=100%/28.425%
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 28.425% of 420.8

420.8/x=100/28.425
(420.8/x)*x=(100/28.425)*x       - we multiply both sides of the equation by x
420.8=3.5180299032542*x       - we divide both sides of the equation by (3.5180299032542) to get x
420.8/3.5180299032542=x
119.6124=x
x=119.6124

now we have:
28.425% of 420.8=119.6124