3297.58 is what percent of 3709.92 - 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 3709.92 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 3709.92, so we can write it down as 100%=3709.92.
4. We know, that x% equals 3297.58 of the output value, so we can write it down as x%=3297.58.
5. Now we have two simple equations:
1) 100%=3709.92
2) x%=3297.58
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%=3709.92/3297.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3297.58 is what percent of 3709.92

100%/x%=3709.92/3297.58
(100/x)*x=(3709.92/3297.58)*x       - we multiply both sides of the equation by x
100=1.1250432135081*x       - we divide both sides of the equation by (1.1250432135081) to get x
100/1.1250432135081=x
88.885474619399=x
x=88.885474619399

now we have:
3297.58 is 88.885474619399% of 3709.92