241.2 is what percent of 3445.72 - 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 3445.72 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 3445.72, so we can write it down as 100%=3445.72.
4. We know, that x% equals 241.2 of the output value, so we can write it down as x%=241.2.
5. Now we have two simple equations:
1) 100%=3445.72
2) x%=241.2
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%=3445.72/241.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 241.2 is what percent of 3445.72

100%/x%=3445.72/241.2
(100/x)*x=(3445.72/241.2)*x       - we multiply both sides of the equation by x
100=14.285737976783*x       - we divide both sides of the equation by (14.285737976783) to get x
100/14.285737976783=x
6.9999883913957=x
x=6.9999883913957

now we have:
241.2 is 6.9999883913957% of 3445.72