0.55 is what percent of 1.35 - 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 1.35 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 1.35, so we can write it down as 100%=1.35.
4. We know, that x% equals 0.55 of the output value, so we can write it down as x%=0.55.
5. Now we have two simple equations:
1) 100%=1.35
2) x%=0.55
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%=1.35/0.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.55 is what percent of 1.35

100%/x%=1.35/0.55
(100/x)*x=(1.35/0.55)*x       - we multiply both sides of the equation by x
100=2.4545454545455*x       - we divide both sides of the equation by (2.4545454545455) to get x
100/2.4545454545455=x
40.740740740741=x
x=40.740740740741

now we have:
0.55 is 40.740740740741% of 1.35