880.45 is what percent of 5282.69 - 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 5282.69 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 5282.69, so we can write it down as 100%=5282.69.
4. We know, that x% equals 880.45 of the output value, so we can write it down as x%=880.45.
5. Now we have two simple equations:
1) 100%=5282.69
2) x%=880.45
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%=5282.69/880.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 880.45 is what percent of 5282.69

100%/x%=5282.69/880.45
(100/x)*x=(5282.69/880.45)*x       - we multiply both sides of the equation by x
100=5.9999886421716*x       - we divide both sides of the equation by (5.9999886421716) to get x
100/5.9999886421716=x
16.66669821625=x
x=16.66669821625

now we have:
880.45 is 16.66669821625% of 5282.69