41.4 is what percent of 1501.14 - 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 1501.14 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 1501.14, so we can write it down as 100%=1501.14.
4. We know, that x% equals 41.4 of the output value, so we can write it down as x%=41.4.
5. Now we have two simple equations:
1) 100%=1501.14
2) x%=41.4
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%=1501.14/41.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.4 is what percent of 1501.14

100%/x%=1501.14/41.4
(100/x)*x=(1501.14/41.4)*x       - we multiply both sides of the equation by x
100=36.259420289855*x       - we divide both sides of the equation by (36.259420289855) to get x
100/36.259420289855=x
2.7579039929653=x
x=2.7579039929653

now we have:
41.4 is 2.7579039929653% of 1501.14