16.64 is what percent of 880.44 - 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 880.44 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 880.44, so we can write it down as 100%=880.44.
4. We know, that x% equals 16.64 of the output value, so we can write it down as x%=16.64.
5. Now we have two simple equations:
1) 100%=880.44
2) x%=16.64
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%=880.44/16.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.64 is what percent of 880.44

100%/x%=880.44/16.64
(100/x)*x=(880.44/16.64)*x       - we multiply both sides of the equation by x
100=52.911057692308*x       - we divide both sides of the equation by (52.911057692308) to get x
100/52.911057692308=x
1.8899641088547=x
x=1.8899641088547

now we have:
16.64 is 1.8899641088547% of 880.44