35.54 is what percent of 322.2 - 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 322.2 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 322.2, so we can write it down as 100%=322.2.
4. We know, that x% equals 35.54 of the output value, so we can write it down as x%=35.54.
5. Now we have two simple equations:
1) 100%=322.2
2) x%=35.54
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%=322.2/35.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.54 is what percent of 322.2

100%/x%=322.2/35.54
(100/x)*x=(322.2/35.54)*x       - we multiply both sides of the equation by x
100=9.0658413055712*x       - we divide both sides of the equation by (9.0658413055712) to get x
100/9.0658413055712=x
11.030415890751=x
x=11.030415890751

now we have:
35.54 is 11.030415890751% of 322.2