83.83 is what percent of 423 - 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 423 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 423, so we can write it down as 100%=423.
4. We know, that x% equals 83.83 of the output value, so we can write it down as x%=83.83.
5. Now we have two simple equations:
1) 100%=423
2) x%=83.83
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%=423/83.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.83 is what percent of 423

100%/x%=423/83.83
(100/x)*x=(423/83.83)*x       - we multiply both sides of the equation by x
100=5.0459262793749*x       - we divide both sides of the equation by (5.0459262793749) to get x
100/5.0459262793749=x
19.817966903073=x
x=19.817966903073

now we have:
83.83 is 19.817966903073% of 423