36.94 is what percent of 2547.62 - 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 2547.62 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 2547.62, so we can write it down as 100%=2547.62.
4. We know, that x% equals 36.94 of the output value, so we can write it down as x%=36.94.
5. Now we have two simple equations:
1) 100%=2547.62
2) x%=36.94
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%=2547.62/36.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.94 is what percent of 2547.62

100%/x%=2547.62/36.94
(100/x)*x=(2547.62/36.94)*x       - we multiply both sides of the equation by x
100=68.966432051976*x       - we divide both sides of the equation by (68.966432051976) to get x
100/68.966432051976=x
1.4499807663623=x
x=1.4499807663623

now we have:
36.94 is 1.4499807663623% of 2547.62