97.21 is what percent of 30.89 - 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 30.89 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 30.89, so we can write it down as 100%=30.89.
4. We know, that x% equals 97.21 of the output value, so we can write it down as x%=97.21.
5. Now we have two simple equations:
1) 100%=30.89
2) x%=97.21
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%=30.89/97.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.21 is what percent of 30.89

100%/x%=30.89/97.21
(100/x)*x=(30.89/97.21)*x       - we multiply both sides of the equation by x
100=0.31776566196893*x       - we divide both sides of the equation by (0.31776566196893) to get x
100/0.31776566196893=x
314.69731304629=x
x=314.69731304629

now we have:
97.21 is 314.69731304629% of 30.89