83 is what percent of 1666 - 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 1666 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 100% equals 1666, so we can write it down as 100%=1666.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=1666
2) x%=83
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:
100%/x%=1666/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 1666

100%/x%=1666/83
(100/x)*x=(1666/83)*x       - we multiply both sides of the equation by x
100=20.072289156627*x       - we divide both sides of the equation by (20.072289156627) to get x
100/20.072289156627=x
4.9819927971188=x
x=4.9819927971188

now we have:
83 is 4.9819927971188% of 1666