27.22 is what percent of 330.97 - 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 330.97 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 330.97, so we can write it down as 100%=330.97.
4. We know, that x% equals 27.22 of the output value, so we can write it down as x%=27.22.
5. Now we have two simple equations:
1) 100%=330.97
2) x%=27.22
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%=330.97/27.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.22 is what percent of 330.97

100%/x%=330.97/27.22
(100/x)*x=(330.97/27.22)*x       - we multiply both sides of the equation by x
100=12.15907421014*x       - we divide both sides of the equation by (12.15907421014) to get x
100/12.15907421014=x
8.2243103604556=x
x=8.2243103604556

now we have:
27.22 is 8.2243103604556% of 330.97