83.35 is what percent of 1666.65 - 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 1666.65 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 1666.65, so we can write it down as 100%=1666.65.
4. We know, that x% equals 83.35 of the output value, so we can write it down as x%=83.35.
5. Now we have two simple equations:
1) 100%=1666.65
2) x%=83.35
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%=1666.65/83.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.35 is what percent of 1666.65

100%/x%=1666.65/83.35
(100/x)*x=(1666.65/83.35)*x       - we multiply both sides of the equation by x
100=19.995800839832*x       - we divide both sides of the equation by (19.995800839832) to get x
100/19.995800839832=x
5.0010500105001=x
x=5.0010500105001

now we have:
83.35 is 5.0010500105001% of 1666.65