100.93 is what percent of 3600.93 - 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 3600.93 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 3600.93, so we can write it down as 100%=3600.93.
4. We know, that x% equals 100.93 of the output value, so we can write it down as x%=100.93.
5. Now we have two simple equations:
1) 100%=3600.93
2) x%=100.93
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%=3600.93/100.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.93 is what percent of 3600.93

100%/x%=3600.93/100.93
(100/x)*x=(3600.93/100.93)*x       - we multiply both sides of the equation by x
100=35.677499256911*x       - we divide both sides of the equation by (35.677499256911) to get x
100/35.677499256911=x
2.8028870319612=x
x=2.8028870319612

now we have:
100.93 is 2.8028870319612% of 3600.93