169.64 is what percent of 304.64 - 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 304.64 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 304.64, so we can write it down as 100%=304.64.
4. We know, that x% equals 169.64 of the output value, so we can write it down as x%=169.64.
5. Now we have two simple equations:
1) 100%=304.64
2) x%=169.64
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%=304.64/169.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.64 is what percent of 304.64

100%/x%=304.64/169.64
(100/x)*x=(304.64/169.64)*x       - we multiply both sides of the equation by x
100=1.79580287668*x       - we divide both sides of the equation by (1.79580287668) to get x
100/1.79580287668=x
55.685399159664=x
x=55.685399159664

now we have:
169.64 is 55.685399159664% of 304.64