268.82 is what percent of 309.55 - 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 309.55 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 309.55, so we can write it down as 100%=309.55.
4. We know, that x% equals 268.82 of the output value, so we can write it down as x%=268.82.
5. Now we have two simple equations:
1) 100%=309.55
2) x%=268.82
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%=309.55/268.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.82 is what percent of 309.55

100%/x%=309.55/268.82
(100/x)*x=(309.55/268.82)*x       - we multiply both sides of the equation by x
100=1.1515140242541*x       - we divide both sides of the equation by (1.1515140242541) to get x
100/1.1515140242541=x
86.842190276207=x
x=86.842190276207

now we have:
268.82 is 86.842190276207% of 309.55