1020.05 is what percent of 955 - 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 955 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 955, so we can write it down as 100%=955.
4. We know, that x% equals 1020.05 of the output value, so we can write it down as x%=1020.05.
5. Now we have two simple equations:
1) 100%=955
2) x%=1020.05
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%=955/1020.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1020.05 is what percent of 955

100%/x%=955/1020.05
(100/x)*x=(955/1020.05)*x       - we multiply both sides of the equation by x
100=0.9362286162443*x       - we divide both sides of the equation by (0.9362286162443) to get x
100/0.9362286162443=x
106.81151832461=x
x=106.81151832461

now we have:
1020.05 is 106.81151832461% of 955