What is 71.6 percent of 83 - 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 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 is 100%, so we can write it down as 83=100%.
4. We know, that x is 71.6% of the output value, so we can write it down as x=71.6%.
5. Now we have two simple equations:
1) 83=100%
2) x=71.6%
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/x=100%/71.6%
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 71.6% of 83

83/x=100/71.6
(83/x)*x=(100/71.6)*x       - we multiply both sides of the equation by x
83=1.3966480446927*x       - we divide both sides of the equation by (1.3966480446927) to get x
83/1.3966480446927=x
59.428=x
x=59.428

now we have:
71.6% of 83=59.428