49.5 is what percent of 566.7 - 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 566.7 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 566.7, so we can write it down as 100%=566.7.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=566.7
2) x%=49.5
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%=566.7/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 566.7

100%/x%=566.7/49.5
(100/x)*x=(566.7/49.5)*x       - we multiply both sides of the equation by x
100=11.448484848485*x       - we divide both sides of the equation by (11.448484848485) to get x
100/11.448484848485=x
8.7347803070408=x
x=8.7347803070408

now we have:
49.5 is 8.7347803070408% of 566.7