221.65 is what percent of 880 - 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 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, so we can write it down as 100%=880.
4. We know, that x% equals 221.65 of the output value, so we can write it down as x%=221.65.
5. Now we have two simple equations:
1) 100%=880
2) x%=221.65
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%=880/221.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 221.65 is what percent of 880

100%/x%=880/221.65
(100/x)*x=(880/221.65)*x       - we multiply both sides of the equation by x
100=3.970223325062*x       - we divide both sides of the equation by (3.970223325062) to get x
100/3.970223325062=x
25.1875=x
x=25.1875

now we have:
221.65 is 25.1875% of 880