16.96 is what percent of 916.9 - 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 916.9 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 916.9, so we can write it down as 100%=916.9.
4. We know, that x% equals 16.96 of the output value, so we can write it down as x%=16.96.
5. Now we have two simple equations:
1) 100%=916.9
2) x%=16.96
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%=916.9/16.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.96 is what percent of 916.9

100%/x%=916.9/16.96
(100/x)*x=(916.9/16.96)*x       - we multiply both sides of the equation by x
100=54.0625*x       - we divide both sides of the equation by (54.0625) to get x
100/54.0625=x
1.849710982659=x
x=1.849710982659

now we have:
16.96 is 1.849710982659% of 916.9