31.76 is what percent of 328.3 - 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 328.3 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 328.3, so we can write it down as 100%=328.3.
4. We know, that x% equals 31.76 of the output value, so we can write it down as x%=31.76.
5. Now we have two simple equations:
1) 100%=328.3
2) x%=31.76
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%=328.3/31.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.76 is what percent of 328.3

100%/x%=328.3/31.76
(100/x)*x=(328.3/31.76)*x       - we multiply both sides of the equation by x
100=10.336901763224*x       - we divide both sides of the equation by (10.336901763224) to get x
100/10.336901763224=x
9.6740785866585=x
x=9.6740785866585

now we have:
31.76 is 9.6740785866585% of 328.3