51.67 is what percent of 325.44 - 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 325.44 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 325.44, so we can write it down as 100%=325.44.
4. We know, that x% equals 51.67 of the output value, so we can write it down as x%=51.67.
5. Now we have two simple equations:
1) 100%=325.44
2) x%=51.67
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%=325.44/51.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.67 is what percent of 325.44

100%/x%=325.44/51.67
(100/x)*x=(325.44/51.67)*x       - we multiply both sides of the equation by x
100=6.2984323592026*x       - we divide both sides of the equation by (6.2984323592026) to get x
100/6.2984323592026=x
15.876966568338=x
x=15.876966568338

now we have:
51.67 is 15.876966568338% of 325.44