What is 49.466666666667 percent of 500 - 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 500 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 500 is 100%, so we can write it down as 500=100%.
4. We know, that x is 49.466666666667% of the output value, so we can write it down as x=49.466666666667%.
5. Now we have two simple equations:
1) 500=100%
2) x=49.466666666667%
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:
500/x=100%/49.466666666667%
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 49.466666666667% of 500

500/x=100/49.466666666667
(500/x)*x=(100/49.466666666667)*x       - we multiply both sides of the equation by x
500=2.021563342318*x       - we divide both sides of the equation by (2.021563342318) to get x
500/2.021563342318=x
247.33333333334=x
x=247.33333333334

now we have:
49.466666666667% of 500=247.33333333334