What is 46.6666 percent of 750000 - 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 750000 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 750000 is 100%, so we can write it down as 750000=100%.
4. We know, that x is 46.6666% of the output value, so we can write it down as x=46.6666%.
5. Now we have two simple equations:
1) 750000=100%
2) x=46.6666%
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:
750000/x=100%/46.6666%
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 46.6666% of 750000

750000/x=100/46.6666
(750000/x)*x=(100/46.6666)*x       - we multiply both sides of the equation by x
750000=2.142860204086*x       - we divide both sides of the equation by (2.142860204086) to get x
750000/2.142860204086=x
349999.5=x
x=349999.5

now we have:
46.6666% of 750000=349999.5