521.75 is what percent of 5455.06 - 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 5455.06 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 5455.06, so we can write it down as 100%=5455.06.
4. We know, that x% equals 521.75 of the output value, so we can write it down as x%=521.75.
5. Now we have two simple equations:
1) 100%=5455.06
2) x%=521.75
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%=5455.06/521.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.75 is what percent of 5455.06

100%/x%=5455.06/521.75
(100/x)*x=(5455.06/521.75)*x       - we multiply both sides of the equation by x
100=10.455313847628*x       - we divide both sides of the equation by (10.455313847628) to get x
100/10.455313847628=x
9.5645144141403=x
x=9.5645144141403

now we have:
521.75 is 9.5645144141403% of 5455.06