1042.74 is what percent of 16106.25 - 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 16106.25 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 16106.25, so we can write it down as 100%=16106.25.
4. We know, that x% equals 1042.74 of the output value, so we can write it down as x%=1042.74.
5. Now we have two simple equations:
1) 100%=16106.25
2) x%=1042.74
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%=16106.25/1042.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1042.74 is what percent of 16106.25

100%/x%=16106.25/1042.74
(100/x)*x=(16106.25/1042.74)*x       - we multiply both sides of the equation by x
100=15.446084354681*x       - we divide both sides of the equation by (15.446084354681) to get x
100/15.446084354681=x
6.4741327124563=x
x=6.4741327124563

now we have:
1042.74 is 6.4741327124563% of 16106.25