41.8 is what percent of 1394.71 - 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 1394.71 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 1394.71, so we can write it down as 100%=1394.71.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=1394.71
2) x%=41.8
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%=1394.71/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 1394.71

100%/x%=1394.71/41.8
(100/x)*x=(1394.71/41.8)*x       - we multiply both sides of the equation by x
100=33.366267942584*x       - we divide both sides of the equation by (33.366267942584) to get x
100/33.366267942584=x
2.9970388109356=x
x=2.9970388109356

now we have:
41.8 is 2.9970388109356% of 1394.71