What is 4.6 percent of 83.76 - 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 83.76 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 83.76 is 100%, so we can write it down as 83.76=100%.
4. We know, that x is 4.6% of the output value, so we can write it down as x=4.6%.
5. Now we have two simple equations:
1) 83.76=100%
2) x=4.6%
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:
83.76/x=100%/4.6%
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 4.6% of 83.76

83.76/x=100/4.6
(83.76/x)*x=(100/4.6)*x       - we multiply both sides of the equation by x
83.76=21.739130434783*x       - we divide both sides of the equation by (21.739130434783) to get x
83.76/21.739130434783=x
3.85296=x
x=3.85296

now we have:
4.6% of 83.76=3.85296