What is 94.38 percent of 96.5 - 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 96.5 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 96.5 is 100%, so we can write it down as 96.5=100%.
4. We know, that x is 94.38% of the output value, so we can write it down as x=94.38%.
5. Now we have two simple equations:
1) 96.5=100%
2) x=94.38%
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:
96.5/x=100%/94.38%
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 94.38% of 96.5

96.5/x=100/94.38
(96.5/x)*x=(100/94.38)*x       - we multiply both sides of the equation by x
96.5=1.059546514092*x       - we divide both sides of the equation by (1.059546514092) to get x
96.5/1.059546514092=x
91.0767=x
x=91.0767

now we have:
94.38% of 96.5=91.0767