41 is what percent of 1545 - 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 1545 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 1545, so we can write it down as 100%=1545.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=1545
2) x%=41
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%=1545/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 1545

100%/x%=1545/41
(100/x)*x=(1545/41)*x       - we multiply both sides of the equation by x
100=37.682926829268*x       - we divide both sides of the equation by (37.682926829268) to get x
100/37.682926829268=x
2.6537216828479=x
x=2.6537216828479

now we have:
41 is 2.6537216828479% of 1545