103.58 is what percent of 3421.22 - 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 3421.22 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 3421.22, so we can write it down as 100%=3421.22.
4. We know, that x% equals 103.58 of the output value, so we can write it down as x%=103.58.
5. Now we have two simple equations:
1) 100%=3421.22
2) x%=103.58
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%=3421.22/103.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.58 is what percent of 3421.22

100%/x%=3421.22/103.58
(100/x)*x=(3421.22/103.58)*x       - we multiply both sides of the equation by x
100=33.029735470168*x       - we divide both sides of the equation by (33.029735470168) to get x
100/33.029735470168=x
3.0275749586405=x
x=3.0275749586405

now we have:
103.58 is 3.0275749586405% of 3421.22