What is 8 percent of 460.67 - 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 460.67 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 460.67 is 100%, so we can write it down as 460.67=100%.
4. We know, that x is 8% of the output value, so we can write it down as x=8%.
5. Now we have two simple equations:
1) 460.67=100%
2) x=8%
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:
460.67/x=100%/8%
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 8% of 460.67

460.67/x=100/8
(460.67/x)*x=(100/8)*x       - we multiply both sides of the equation by x
460.67=12.5*x       - we divide both sides of the equation by (12.5) to get x
460.67/12.5=x
36.8536=x
x=36.8536

now we have:
8% of 460.67=36.8536