What is 6.25 percent of 4179.2 - 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 4179.2 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 4179.2 is 100%, so we can write it down as 4179.2=100%.
4. We know, that x is 6.25% of the output value, so we can write it down as x=6.25%.
5. Now we have two simple equations:
1) 4179.2=100%
2) x=6.25%
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:
4179.2/x=100%/6.25%
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 6.25% of 4179.2

4179.2/x=100/6.25
(4179.2/x)*x=(100/6.25)*x       - we multiply both sides of the equation by x
4179.2=16*x       - we divide both sides of the equation by (16) to get x
4179.2/16=x
261.2=x
x=261.2

now we have:
6.25% of 4179.2=261.2