40.2 is what percent of 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 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 69, so we can write it down as 100%=69.
4. We know, that x% equals 40.2 of the output value, so we can write it down as x%=40.2.
5. Now we have two simple equations:
1) 100%=69
2) x%=40.2
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%=69/40.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.2 is what percent of 69

100%/x%=69/40.2
(100/x)*x=(69/40.2)*x       - we multiply both sides of the equation by x
100=1.7164179104478*x       - we divide both sides of the equation by (1.7164179104478) to get x
100/1.7164179104478=x
58.260869565217=x
x=58.260869565217

now we have:
40.2 is 58.260869565217% of 69