40.4 is what percent of 5729.87 - 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 5729.87 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 5729.87, so we can write it down as 100%=5729.87.
4. We know, that x% equals 40.4 of the output value, so we can write it down as x%=40.4.
5. Now we have two simple equations:
1) 100%=5729.87
2) x%=40.4
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%=5729.87/40.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.4 is what percent of 5729.87

100%/x%=5729.87/40.4
(100/x)*x=(5729.87/40.4)*x       - we multiply both sides of the equation by x
100=141.82846534653*x       - we divide both sides of the equation by (141.82846534653) to get x
100/141.82846534653=x
0.70507707853756=x
x=0.70507707853756

now we have:
40.4 is 0.70507707853756% of 5729.87