83.82 is what percent of 335.4 - 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 335.4 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 335.4, so we can write it down as 100%=335.4.
4. We know, that x% equals 83.82 of the output value, so we can write it down as x%=83.82.
5. Now we have two simple equations:
1) 100%=335.4
2) x%=83.82
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%=335.4/83.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.82 is what percent of 335.4

100%/x%=335.4/83.82
(100/x)*x=(335.4/83.82)*x       - we multiply both sides of the equation by x
100=4.0014316392269*x       - we divide both sides of the equation by (4.0014316392269) to get x
100/4.0014316392269=x
24.991055456172=x
x=24.991055456172

now we have:
83.82 is 24.991055456172% of 335.4