What is 42.29 percent of 42.29 - 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 42.29 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 42.29 is 100%, so we can write it down as 42.29=100%.
4. We know, that x is 42.29% of the output value, so we can write it down as x=42.29%.
5. Now we have two simple equations:
1) 42.29=100%
2) x=42.29%
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:
42.29/x=100%/42.29%
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 42.29% of 42.29

42.29/x=100/42.29
(42.29/x)*x=(100/42.29)*x       - we multiply both sides of the equation by x
42.29=2.3646252069047*x       - we divide both sides of the equation by (2.3646252069047) to get x
42.29/2.3646252069047=x
17.884441=x
x=17.884441

now we have:
42.29% of 42.29=17.884441