41.26 is what percent of 1220 - 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 1220 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 1220, so we can write it down as 100%=1220.
4. We know, that x% equals 41.26 of the output value, so we can write it down as x%=41.26.
5. Now we have two simple equations:
1) 100%=1220
2) x%=41.26
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%=1220/41.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.26 is what percent of 1220

100%/x%=1220/41.26
(100/x)*x=(1220/41.26)*x       - we multiply both sides of the equation by x
100=29.568589432865*x       - we divide both sides of the equation by (29.568589432865) to get x
100/29.568589432865=x
3.3819672131148=x
x=3.3819672131148

now we have:
41.26 is 3.3819672131148% of 1220