442.87 is what percent of 1734.72 - 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 1734.72 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 1734.72, so we can write it down as 100%=1734.72.
4. We know, that x% equals 442.87 of the output value, so we can write it down as x%=442.87.
5. Now we have two simple equations:
1) 100%=1734.72
2) x%=442.87
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%=1734.72/442.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.87 is what percent of 1734.72

100%/x%=1734.72/442.87
(100/x)*x=(1734.72/442.87)*x       - we multiply both sides of the equation by x
100=3.9169959581819*x       - we divide both sides of the equation by (3.9169959581819) to get x
100/3.9169959581819=x
25.529768492898=x
x=25.529768492898

now we have:
442.87 is 25.529768492898% of 1734.72