31.59 is what percent of 101.6 - 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 101.6 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 101.6, so we can write it down as 100%=101.6.
4. We know, that x% equals 31.59 of the output value, so we can write it down as x%=31.59.
5. Now we have two simple equations:
1) 100%=101.6
2) x%=31.59
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%=101.6/31.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.59 is what percent of 101.6

100%/x%=101.6/31.59
(100/x)*x=(101.6/31.59)*x       - we multiply both sides of the equation by x
100=3.2162076606521*x       - we divide both sides of the equation by (3.2162076606521) to get x
100/3.2162076606521=x
31.092519685039=x
x=31.092519685039

now we have:
31.59 is 31.092519685039% of 101.6