1.64 is what percent of 1.55 - 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 1.55 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 1.55, so we can write it down as 100%=1.55.
4. We know, that x% equals 1.64 of the output value, so we can write it down as x%=1.64.
5. Now we have two simple equations:
1) 100%=1.55
2) x%=1.64
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%=1.55/1.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.64 is what percent of 1.55

100%/x%=1.55/1.64
(100/x)*x=(1.55/1.64)*x       - we multiply both sides of the equation by x
100=0.94512195121951*x       - we divide both sides of the equation by (0.94512195121951) to get x
100/0.94512195121951=x
105.8064516129=x
x=105.8064516129

now we have:
1.64 is 105.8064516129% of 1.55