31.29 is what percent of 97.65 - 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 97.65 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 97.65, so we can write it down as 100%=97.65.
4. We know, that x% equals 31.29 of the output value, so we can write it down as x%=31.29.
5. Now we have two simple equations:
1) 100%=97.65
2) x%=31.29
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%=97.65/31.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.29 is what percent of 97.65

100%/x%=97.65/31.29
(100/x)*x=(97.65/31.29)*x       - we multiply both sides of the equation by x
100=3.1208053691275*x       - we divide both sides of the equation by (3.1208053691275) to get x
100/3.1208053691275=x
32.043010752688=x
x=32.043010752688

now we have:
31.29 is 32.043010752688% of 97.65