107.55 is what percent of 1955.35 - 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 1955.35 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 1955.35, so we can write it down as 100%=1955.35.
4. We know, that x% equals 107.55 of the output value, so we can write it down as x%=107.55.
5. Now we have two simple equations:
1) 100%=1955.35
2) x%=107.55
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%=1955.35/107.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.55 is what percent of 1955.35

100%/x%=1955.35/107.55
(100/x)*x=(1955.35/107.55)*x       - we multiply both sides of the equation by x
100=18.180846118085*x       - we divide both sides of the equation by (18.180846118085) to get x
100/18.180846118085=x
5.5002940650012=x
x=5.5002940650012

now we have:
107.55 is 5.5002940650012% of 1955.35