What is 61.11 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 61.11% of the output value, so we can write it down as x=61.11%.
5. Now we have two simple equations:
1) 100=100%
2) x=61.11%
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%/61.11%
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 61.11% of 100

100/x=100/61.11
(100/x)*x=(100/61.11)*x       - we multiply both sides of the equation by x
100=1.6363933889707*x       - we divide both sides of the equation by (1.6363933889707) to get x
100/1.6363933889707=x
61.11=x
x=61.11

now we have:
61.11% of 100=61.11