140.92 is what percent of 2168 - 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 2168 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% equals 2168, so we can write it down as 100%=2168.
4. We know, that x% equals 140.92 of the output value, so we can write it down as x%=140.92.
5. Now we have two simple equations:
1) 100%=2168
2) x%=140.92
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%=2168/140.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.92 is what percent of 2168

100%/x%=2168/140.92
(100/x)*x=(2168/140.92)*x       - we multiply both sides of the equation by x
100=15.384615384615*x       - we divide both sides of the equation by (15.384615384615) to get x
100/15.384615384615=x
6.5=x
x=6.5

now we have:
140.92 is 6.5% of 2168