What is 58 percent of 96.6 - 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 96.6 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 96.6 is 100%, so we can write it down as 96.6=100%.
4. We know, that x is 58% of the output value, so we can write it down as x=58%.
5. Now we have two simple equations:
1) 96.6=100%
2) x=58%
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:
96.6/x=100%/58%
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 58% of 96.6

96.6/x=100/58
(96.6/x)*x=(100/58)*x       - we multiply both sides of the equation by x
96.6=1.7241379310345*x       - we divide both sides of the equation by (1.7241379310345) to get x
96.6/1.7241379310345=x
56.028=x
x=56.028

now we have:
58% of 96.6=56.028