What is 1.66666666667 percent of 5000 - 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 5000 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 5000 is 100%, so we can write it down as 5000=100%.
4. We know, that x is 1.66666666667% of the output value, so we can write it down as x=1.66666666667%.
5. Now we have two simple equations:
1) 5000=100%
2) x=1.66666666667%
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:
5000/x=100%/1.66666666667%
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 1.66666666667% of 5000

5000/x=100/1.66666666667
(5000/x)*x=(100/1.66666666667)*x       - we multiply both sides of the equation by x
5000=59.99999999988*x       - we divide both sides of the equation by (59.99999999988) to get x
5000/59.99999999988=x
83.3333333335=x
x=83.3333333335

now we have:
1.66666666667% of 5000=83.3333333335