10.28 is what percent of 32.86 - 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 32.86 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 32.86, so we can write it down as 100%=32.86.
4. We know, that x% equals 10.28 of the output value, so we can write it down as x%=10.28.
5. Now we have two simple equations:
1) 100%=32.86
2) x%=10.28
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%=32.86/10.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.28 is what percent of 32.86

100%/x%=32.86/10.28
(100/x)*x=(32.86/10.28)*x       - we multiply both sides of the equation by x
100=3.1964980544747*x       - we divide both sides of the equation by (3.1964980544747) to get x
100/3.1964980544747=x
31.284236153378=x
x=31.284236153378

now we have:
10.28 is 31.284236153378% of 32.86