48.17 is what percent of 552.88 - 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 552.88 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 552.88, so we can write it down as 100%=552.88.
4. We know, that x% equals 48.17 of the output value, so we can write it down as x%=48.17.
5. Now we have two simple equations:
1) 100%=552.88
2) x%=48.17
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%=552.88/48.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.17 is what percent of 552.88

100%/x%=552.88/48.17
(100/x)*x=(552.88/48.17)*x       - we multiply both sides of the equation by x
100=11.477683205315*x       - we divide both sides of the equation by (11.477683205315) to get x
100/11.477683205315=x
8.7125596874548=x
x=8.7125596874548

now we have:
48.17 is 8.7125596874548% of 552.88