507.91 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 507.91 of the output value, so we can write it down as x%=507.91.
5. Now we have two simple equations:
1) 100%=5500
2) x%=507.91
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%=5500/507.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 507.91 is what percent of 5500

100%/x%=5500/507.91
(100/x)*x=(5500/507.91)*x       - we multiply both sides of the equation by x
100=10.828690122266*x       - we divide both sides of the equation by (10.828690122266) to get x
100/10.828690122266=x
9.2347272727273=x
x=9.2347272727273

now we have:
507.91 is 9.2347272727273% of 5500