0.04 is what percent of 3577 - 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 3577 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 3577, so we can write it down as 100%=3577.
4. We know, that x% equals 0.04 of the output value, so we can write it down as x%=0.04.
5. Now we have two simple equations:
1) 100%=3577
2) x%=0.04
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%=3577/0.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.04 is what percent of 3577

100%/x%=3577/0.04
(100/x)*x=(3577/0.04)*x       - we multiply both sides of the equation by x
100=89425*x       - we divide both sides of the equation by (89425) to get x
100/89425=x
0.0011182555213866=x
x=0.0011182555213866

now we have:
0.04 is 0.0011182555213866% of 3577