59.66 is what percent of 329.66 - 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 329.66 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 329.66, so we can write it down as 100%=329.66.
4. We know, that x% equals 59.66 of the output value, so we can write it down as x%=59.66.
5. Now we have two simple equations:
1) 100%=329.66
2) x%=59.66
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%=329.66/59.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.66 is what percent of 329.66

100%/x%=329.66/59.66
(100/x)*x=(329.66/59.66)*x       - we multiply both sides of the equation by x
100=5.5256453234998*x       - we divide both sides of the equation by (5.5256453234998) to get x
100/5.5256453234998=x
18.09743371959=x
x=18.09743371959

now we have:
59.66 is 18.09743371959% of 329.66