8.83 is what percent of 165.83 - 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 165.83 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 165.83, so we can write it down as 100%=165.83.
4. We know, that x% equals 8.83 of the output value, so we can write it down as x%=8.83.
5. Now we have two simple equations:
1) 100%=165.83
2) x%=8.83
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%=165.83/8.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.83 is what percent of 165.83

100%/x%=165.83/8.83
(100/x)*x=(165.83/8.83)*x       - we multiply both sides of the equation by x
100=18.780294450736*x       - we divide both sides of the equation by (18.780294450736) to get x
100/18.780294450736=x
5.3247301453296=x
x=5.3247301453296

now we have:
8.83 is 5.3247301453296% of 165.83