45.65 is what percent of 41.5 - 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 41.5 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 41.5, so we can write it down as 100%=41.5.
4. We know, that x% equals 45.65 of the output value, so we can write it down as x%=45.65.
5. Now we have two simple equations:
1) 100%=41.5
2) x%=45.65
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%=41.5/45.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.65 is what percent of 41.5

100%/x%=41.5/45.65
(100/x)*x=(41.5/45.65)*x       - we multiply both sides of the equation by x
100=0.90909090909091*x       - we divide both sides of the equation by (0.90909090909091) to get x
100/0.90909090909091=x
110=x
x=110

now we have:
45.65 is 110% of 41.5