52.12 is what percent of 369.17 - 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 369.17 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 369.17, so we can write it down as 100%=369.17.
4. We know, that x% equals 52.12 of the output value, so we can write it down as x%=52.12.
5. Now we have two simple equations:
1) 100%=369.17
2) x%=52.12
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%=369.17/52.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.12 is what percent of 369.17

100%/x%=369.17/52.12
(100/x)*x=(369.17/52.12)*x       - we multiply both sides of the equation by x
100=7.0830775134305*x       - we divide both sides of the equation by (7.0830775134305) to get x
100/7.0830775134305=x
14.118156946664=x
x=14.118156946664

now we have:
52.12 is 14.118156946664% of 369.17