36.28 is what percent of 34.55 - 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 34.55 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 34.55, so we can write it down as 100%=34.55.
4. We know, that x% equals 36.28 of the output value, so we can write it down as x%=36.28.
5. Now we have two simple equations:
1) 100%=34.55
2) x%=36.28
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%=34.55/36.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.28 is what percent of 34.55

100%/x%=34.55/36.28
(100/x)*x=(34.55/36.28)*x       - we multiply both sides of the equation by x
100=0.95231532524807*x       - we divide both sides of the equation by (0.95231532524807) to get x
100/0.95231532524807=x
105.00723589001=x
x=105.00723589001

now we have:
36.28 is 105.00723589001% of 34.55