0.36 is what percent of 0.3636363636 - 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 0.3636363636 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 0.3636363636, so we can write it down as 100%=0.3636363636.
4. We know, that x% equals 0.36 of the output value, so we can write it down as x%=0.36.
5. Now we have two simple equations:
1) 100%=0.3636363636
2) x%=0.36
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%=0.3636363636/0.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.36 is what percent of 0.3636363636

100%/x%=0.3636363636/0.36
(100/x)*x=(0.3636363636/0.36)*x       - we multiply both sides of the equation by x
100=1.01010101*x       - we divide both sides of the equation by (1.01010101) to get x
100/1.01010101=x
99.0000000099=x
x=99.0000000099

now we have:
0.36 is 99.0000000099% of 0.3636363636