What is 22.2222222222 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 22.2222222222% of the output value, so we can write it down as x=22.2222222222%.
5. Now we have two simple equations:
1) 100=100%
2) x=22.2222222222%
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=100%/22.2222222222%
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 22.2222222222% of 100

100/x=100/22.2222222222
(100/x)*x=(100/22.2222222222)*x       - we multiply both sides of the equation by x
100=4.5000000000045*x       - we divide both sides of the equation by (4.5000000000045) to get x
100/4.5000000000045=x
22.2222222222=x
x=22.2222222222

now we have:
22.2222222222% of 100=22.2222222222