31.78 is what percent of 908.11 - 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 908.11 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 908.11, so we can write it down as 100%=908.11.
4. We know, that x% equals 31.78 of the output value, so we can write it down as x%=31.78.
5. Now we have two simple equations:
1) 100%=908.11
2) x%=31.78
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%=908.11/31.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.78 is what percent of 908.11

100%/x%=908.11/31.78
(100/x)*x=(908.11/31.78)*x       - we multiply both sides of the equation by x
100=28.574889867841*x       - we divide both sides of the equation by (28.574889867841) to get x
100/28.574889867841=x
3.4995760425499=x
x=3.4995760425499

now we have:
31.78 is 3.4995760425499% of 908.11