What is 102.1 percent of 107 - 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 107 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 107 is 100%, so we can write it down as 107=100%.
4. We know, that x is 102.1% of the output value, so we can write it down as x=102.1%.
5. Now we have two simple equations:
1) 107=100%
2) x=102.1%
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:
107/x=100%/102.1%
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 102.1% of 107

107/x=100/102.1
(107/x)*x=(100/102.1)*x       - we multiply both sides of the equation by x
107=0.9794319294809*x       - we divide both sides of the equation by (0.9794319294809) to get x
107/0.9794319294809=x
109.247=x
x=109.247

now we have:
102.1% of 107=109.247