222.75 is what percent of 3558.75 - 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 3558.75 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 3558.75, so we can write it down as 100%=3558.75.
4. We know, that x% equals 222.75 of the output value, so we can write it down as x%=222.75.
5. Now we have two simple equations:
1) 100%=3558.75
2) x%=222.75
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%=3558.75/222.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 222.75 is what percent of 3558.75

100%/x%=3558.75/222.75
(100/x)*x=(3558.75/222.75)*x       - we multiply both sides of the equation by x
100=15.976430976431*x       - we divide both sides of the equation by (15.976430976431) to get x
100/15.976430976431=x
6.259220231823=x
x=6.259220231823

now we have:
222.75 is 6.259220231823% of 3558.75