741.09 is what percent of 40741.16 - 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 40741.16 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 40741.16, so we can write it down as 100%=40741.16.
4. We know, that x% equals 741.09 of the output value, so we can write it down as x%=741.09.
5. Now we have two simple equations:
1) 100%=40741.16
2) x%=741.09
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%=40741.16/741.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 741.09 is what percent of 40741.16

100%/x%=40741.16/741.09
(100/x)*x=(40741.16/741.09)*x       - we multiply both sides of the equation by x
100=54.9746454547*x       - we divide both sides of the equation by (54.9746454547) to get x
100/54.9746454547=x
1.81902037154=x
x=1.81902037154

now we have:
741.09 is 1.81902037154% of 40741.16