What is 16 percent of 4667.46 - 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 4667.46 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 4667.46 is 100%, so we can write it down as 4667.46=100%.
4. We know, that x is 16% of the output value, so we can write it down as x=16%.
5. Now we have two simple equations:
1) 4667.46=100%
2) x=16%
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:
4667.46/x=100%/16%
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 16% of 4667.46

4667.46/x=100/16
(4667.46/x)*x=(100/16)*x       - we multiply both sides of the equation by x
4667.46=6.25*x       - we divide both sides of the equation by (6.25) to get x
4667.46/6.25=x
746.7936=x
x=746.7936

now we have:
16% of 4667.46=746.7936