2940.45 is what percent of 16102.05 - 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 16102.05 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 16102.05, so we can write it down as 100%=16102.05.
4. We know, that x% equals 2940.45 of the output value, so we can write it down as x%=2940.45.
5. Now we have two simple equations:
1) 100%=16102.05
2) x%=2940.45
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%=16102.05/2940.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2940.45 is what percent of 16102.05

100%/x%=16102.05/2940.45
(100/x)*x=(16102.05/2940.45)*x       - we multiply both sides of the equation by x
100=5.4760495842473*x       - we divide both sides of the equation by (5.4760495842473) to get x
100/5.4760495842473=x
18.261339394673=x
x=18.261339394673

now we have:
2940.45 is 18.261339394673% of 16102.05