101.1 is what percent of 236.3 - 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 236.3 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 236.3, so we can write it down as 100%=236.3.
4. We know, that x% equals 101.1 of the output value, so we can write it down as x%=101.1.
5. Now we have two simple equations:
1) 100%=236.3
2) x%=101.1
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%=236.3/101.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.1 is what percent of 236.3

100%/x%=236.3/101.1
(100/x)*x=(236.3/101.1)*x       - we multiply both sides of the equation by x
100=2.3372898120673*x       - we divide both sides of the equation by (2.3372898120673) to get x
100/2.3372898120673=x
42.78459585273=x
x=42.78459585273

now we have:
101.1 is 42.78459585273% of 236.3