43.16 is what percent of 2599.16 - 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 2599.16 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 2599.16, so we can write it down as 100%=2599.16.
4. We know, that x% equals 43.16 of the output value, so we can write it down as x%=43.16.
5. Now we have two simple equations:
1) 100%=2599.16
2) x%=43.16
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%=2599.16/43.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.16 is what percent of 2599.16

100%/x%=2599.16/43.16
(100/x)*x=(2599.16/43.16)*x       - we multiply both sides of the equation by x
100=60.221501390176*x       - we divide both sides of the equation by (60.221501390176) to get x
100/60.221501390176=x
1.6605364810169=x
x=1.6605364810169

now we have:
43.16 is 1.6605364810169% of 2599.16