What is 90.2 percent of 120 - 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 120 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 120 is 100%, so we can write it down as 120=100%.
4. We know, that x is 90.2% of the output value, so we can write it down as x=90.2%.
5. Now we have two simple equations:
1) 120=100%
2) x=90.2%
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:
120/x=100%/90.2%
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 90.2% of 120

120/x=100/90.2
(120/x)*x=(100/90.2)*x       - we multiply both sides of the equation by x
120=1.1086474501109*x       - we divide both sides of the equation by (1.1086474501109) to get x
120/1.1086474501109=x
108.24=x
x=108.24

now we have:
90.2% of 120=108.24