What is 93 percent of 459.5 - 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 459.5 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 459.5 is 100%, so we can write it down as 459.5=100%.
4. We know, that x is 93% of the output value, so we can write it down as x=93%.
5. Now we have two simple equations:
1) 459.5=100%
2) x=93%
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:
459.5/x=100%/93%
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 93% of 459.5

459.5/x=100/93
(459.5/x)*x=(100/93)*x       - we multiply both sides of the equation by x
459.5=1.0752688172043*x       - we divide both sides of the equation by (1.0752688172043) to get x
459.5/1.0752688172043=x
427.335=x
x=427.335

now we have:
93% of 459.5=427.335