53.64 is what percent of 311.64 - 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 311.64 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 311.64, so we can write it down as 100%=311.64.
4. We know, that x% equals 53.64 of the output value, so we can write it down as x%=53.64.
5. Now we have two simple equations:
1) 100%=311.64
2) x%=53.64
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%=311.64/53.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.64 is what percent of 311.64

100%/x%=311.64/53.64
(100/x)*x=(311.64/53.64)*x       - we multiply both sides of the equation by x
100=5.8098434004474*x       - we divide both sides of the equation by (5.8098434004474) to get x
100/5.8098434004474=x
17.212167886022=x
x=17.212167886022

now we have:
53.64 is 17.212167886022% of 311.64