What is 12.1212121212 percent of 90 - 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 90 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 90 is 100%, so we can write it down as 90=100%.
4. We know, that x is 12.1212121212% of the output value, so we can write it down as x=12.1212121212%.
5. Now we have two simple equations:
1) 90=100%
2) x=12.1212121212%
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:
90/x=100%/12.1212121212%
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 12.1212121212% of 90

90/x=100/12.1212121212
(90/x)*x=(100/12.1212121212)*x       - we multiply both sides of the equation by x
90=8.2500000000083*x       - we divide both sides of the equation by (8.2500000000083) to get x
90/8.2500000000083=x
10.90909090908=x
x=10.90909090908

now we have:
12.1212121212% of 90=10.90909090908