33.5 is what percent of 33.1 - 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 33.1 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 33.1, so we can write it down as 100%=33.1.
4. We know, that x% equals 33.5 of the output value, so we can write it down as x%=33.5.
5. Now we have two simple equations:
1) 100%=33.1
2) x%=33.5
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%=33.1/33.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.5 is what percent of 33.1

100%/x%=33.1/33.5
(100/x)*x=(33.1/33.5)*x       - we multiply both sides of the equation by x
100=0.98805970149254*x       - we divide both sides of the equation by (0.98805970149254) to get x
100/0.98805970149254=x
101.2084592145=x
x=101.2084592145

now we have:
33.5 is 101.2084592145% of 33.1