550.75 is what percent of 968.5 - 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 968.5 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 968.5, so we can write it down as 100%=968.5.
4. We know, that x% equals 550.75 of the output value, so we can write it down as x%=550.75.
5. Now we have two simple equations:
1) 100%=968.5
2) x%=550.75
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%=968.5/550.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.75 is what percent of 968.5

100%/x%=968.5/550.75
(100/x)*x=(968.5/550.75)*x       - we multiply both sides of the equation by x
100=1.7585111211984*x       - we divide both sides of the equation by (1.7585111211984) to get x
100/1.7585111211984=x
56.866288074342=x
x=56.866288074342

now we have:
550.75 is 56.866288074342% of 968.5