56.69 is what percent of 72 - 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 72 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 72, so we can write it down as 100%=72.
4. We know, that x% equals 56.69 of the output value, so we can write it down as x%=56.69.
5. Now we have two simple equations:
1) 100%=72
2) x%=56.69
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%=72/56.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.69 is what percent of 72

100%/x%=72/56.69
(100/x)*x=(72/56.69)*x       - we multiply both sides of the equation by x
100=1.2700652672429*x       - we divide both sides of the equation by (1.2700652672429) to get x
100/1.2700652672429=x
78.736111111111=x
x=78.736111111111

now we have:
56.69 is 78.736111111111% of 72