1.04 is what percent of 34.62 - 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 34.62 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 34.62, so we can write it down as 100%=34.62.
4. We know, that x% equals 1.04 of the output value, so we can write it down as x%=1.04.
5. Now we have two simple equations:
1) 100%=34.62
2) x%=1.04
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%=34.62/1.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.04 is what percent of 34.62

100%/x%=34.62/1.04
(100/x)*x=(34.62/1.04)*x       - we multiply both sides of the equation by x
100=33.288461538462*x       - we divide both sides of the equation by (33.288461538462) to get x
100/33.288461538462=x
3.0040439052571=x
x=3.0040439052571

now we have:
1.04 is 3.0040439052571% of 34.62