65.5 is what percent of 115.3 - 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 115.3 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 115.3, so we can write it down as 100%=115.3.
4. We know, that x% equals 65.5 of the output value, so we can write it down as x%=65.5.
5. Now we have two simple equations:
1) 100%=115.3
2) x%=65.5
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%=115.3/65.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.5 is what percent of 115.3

100%/x%=115.3/65.5
(100/x)*x=(115.3/65.5)*x       - we multiply both sides of the equation by x
100=1.7603053435115*x       - we divide both sides of the equation by (1.7603053435115) to get x
100/1.7603053435115=x
56.808326105811=x
x=56.808326105811

now we have:
65.5 is 56.808326105811% of 115.3