67.82 is what percent of 203.86 - 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 203.86 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 203.86, so we can write it down as 100%=203.86.
4. We know, that x% equals 67.82 of the output value, so we can write it down as x%=67.82.
5. Now we have two simple equations:
1) 100%=203.86
2) x%=67.82
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%=203.86/67.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.82 is what percent of 203.86

100%/x%=203.86/67.82
(100/x)*x=(203.86/67.82)*x       - we multiply both sides of the equation by x
100=3.005897965202*x       - we divide both sides of the equation by (3.005897965202) to get x
100/3.005897965202=x
33.267928970862=x
x=33.267928970862

now we have:
67.82 is 33.267928970862% of 203.86