57.73 is what percent of 327.76 - 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 327.76 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 327.76, so we can write it down as 100%=327.76.
4. We know, that x% equals 57.73 of the output value, so we can write it down as x%=57.73.
5. Now we have two simple equations:
1) 100%=327.76
2) x%=57.73
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%=327.76/57.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.73 is what percent of 327.76

100%/x%=327.76/57.73
(100/x)*x=(327.76/57.73)*x       - we multiply both sides of the equation by x
100=5.6774640568162*x       - we divide both sides of the equation by (5.6774640568162) to get x
100/5.6774640568162=x
17.61349768123=x
x=17.61349768123

now we have:
57.73 is 17.61349768123% of 327.76