21.69 is what percent of 56.69 - 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 56.69 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 56.69, so we can write it down as 100%=56.69.
4. We know, that x% equals 21.69 of the output value, so we can write it down as x%=21.69.
5. Now we have two simple equations:
1) 100%=56.69
2) x%=21.69
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%=56.69/21.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.69 is what percent of 56.69

100%/x%=56.69/21.69
(100/x)*x=(56.69/21.69)*x       - we multiply both sides of the equation by x
100=2.6136468418626*x       - we divide both sides of the equation by (2.6136468418626) to get x
100/2.6136468418626=x
38.260716175692=x
x=38.260716175692

now we have:
21.69 is 38.260716175692% of 56.69