What is 106.142 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 106.142% of the output value, so we can write it down as x=106.142%.
5. Now we have two simple equations:
1) 100=100%
2) x=106.142%
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%/106.142%
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 106.142% of 100

100/x=100/106.142
(100/x)*x=(100/106.142)*x       - we multiply both sides of the equation by x
100=0.94213412221364*x       - we divide both sides of the equation by (0.94213412221364) to get x
100/0.94213412221364=x
106.142=x
x=106.142

now we have:
106.142% of 100=106.142