3376.41 is what percent of 5500 - 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 5500 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 5500, so we can write it down as 100%=5500.
4. We know, that x% equals 3376.41 of the output value, so we can write it down as x%=3376.41.
5. Now we have two simple equations:
1) 100%=5500
2) x%=3376.41
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%=5500/3376.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3376.41 is what percent of 5500

100%/x%=5500/3376.41
(100/x)*x=(5500/3376.41)*x       - we multiply both sides of the equation by x
100=1.6289490908983*x       - we divide both sides of the equation by (1.6289490908983) to get x
100/1.6289490908983=x
61.389272727273=x
x=61.389272727273

now we have:
3376.41 is 61.389272727273% of 5500