281.38 is what percent of 324 - 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 324 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 324, so we can write it down as 100%=324.
4. We know, that x% equals 281.38 of the output value, so we can write it down as x%=281.38.
5. Now we have two simple equations:
1) 100%=324
2) x%=281.38
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%=324/281.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 281.38 is what percent of 324

100%/x%=324/281.38
(100/x)*x=(324/281.38)*x       - we multiply both sides of the equation by x
100=1.1514677660104*x       - we divide both sides of the equation by (1.1514677660104) to get x
100/1.1514677660104=x
86.845679012346=x
x=86.845679012346

now we have:
281.38 is 86.845679012346% of 324