What is 92.35 percent of 488.64 - 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 488.64 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 488.64 is 100%, so we can write it down as 488.64=100%.
4. We know, that x is 92.35% of the output value, so we can write it down as x=92.35%.
5. Now we have two simple equations:
1) 488.64=100%
2) x=92.35%
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:
488.64/x=100%/92.35%
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 92.35% of 488.64

488.64/x=100/92.35
(488.64/x)*x=(100/92.35)*x       - we multiply both sides of the equation by x
488.64=1.0828370330265*x       - we divide both sides of the equation by (1.0828370330265) to get x
488.64/1.0828370330265=x
451.25904=x
x=451.25904

now we have:
92.35% of 488.64=451.25904