What is 15.33 percent of 446.25 - 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 446.25 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 446.25 is 100%, so we can write it down as 446.25=100%.
4. We know, that x is 15.33% of the output value, so we can write it down as x=15.33%.
5. Now we have two simple equations:
1) 446.25=100%
2) x=15.33%
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:
446.25/x=100%/15.33%
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 15.33% of 446.25

446.25/x=100/15.33
(446.25/x)*x=(100/15.33)*x       - we multiply both sides of the equation by x
446.25=6.5231572080887*x       - we divide both sides of the equation by (6.5231572080887) to get x
446.25/6.5231572080887=x
68.410125=x
x=68.410125

now we have:
15.33% of 446.25=68.410125