What is 42.15 percent of 69.66 - 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 69.66 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 69.66 is 100%, so we can write it down as 69.66=100%.
4. We know, that x is 42.15% of the output value, so we can write it down as x=42.15%.
5. Now we have two simple equations:
1) 69.66=100%
2) x=42.15%
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:
69.66/x=100%/42.15%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 42.15% of 69.66

69.66/x=100/42.15
(69.66/x)*x=(100/42.15)*x       - we multiply both sides of the equation by x
69.66=2.3724792408066*x       - we divide both sides of the equation by (2.3724792408066) to get x
69.66/2.3724792408066=x
29.36169=x
x=29.36169

now we have:
42.15% of 69.66=29.36169