What is 23.685 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 23.685% of the output value, so we can write it down as x=23.685%.
5. Now we have two simple equations:
1) 420.8=100%
2) x=23.685%
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%/23.685%
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 23.685% of 420.8

420.8/x=100/23.685
(420.8/x)*x=(100/23.685)*x       - we multiply both sides of the equation by x
420.8=4.2220814861727*x       - we divide both sides of the equation by (4.2220814861727) to get x
420.8/4.2220814861727=x
99.66648=x
x=99.66648

now we have:
23.685% of 420.8=99.66648