What is 46.6667 percent of 516 - 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 516 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 516 is 100%, so we can write it down as 516=100%.
4. We know, that x is 46.6667% of the output value, so we can write it down as x=46.6667%.
5. Now we have two simple equations:
1) 516=100%
2) x=46.6667%
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:
516/x=100%/46.6667%
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 46.6667% of 516

516/x=100/46.6667
(516/x)*x=(100/46.6667)*x       - we multiply both sides of the equation by x
516=2.142855612246*x       - we divide both sides of the equation by (2.142855612246) to get x
516/2.142855612246=x
240.800172=x
x=240.800172

now we have:
46.6667% of 516=240.800172