What is 7.375 percent of 83.06 - 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 83.06 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 83.06 is 100%, so we can write it down as 83.06=100%.
4. We know, that x is 7.375% of the output value, so we can write it down as x=7.375%.
5. Now we have two simple equations:
1) 83.06=100%
2) x=7.375%
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:
83.06/x=100%/7.375%
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 7.375% of 83.06

83.06/x=100/7.375
(83.06/x)*x=(100/7.375)*x       - we multiply both sides of the equation by x
83.06=13.559322033898*x       - we divide both sides of the equation by (13.559322033898) to get x
83.06/13.559322033898=x
6.125675=x
x=6.125675

now we have:
7.375% of 83.06=6.125675