3.52 is what percent of 23.45 - 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 23.45 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 23.45, so we can write it down as 100%=23.45.
4. We know, that x% equals 3.52 of the output value, so we can write it down as x%=3.52.
5. Now we have two simple equations:
1) 100%=23.45
2) x%=3.52
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%=23.45/3.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.52 is what percent of 23.45

100%/x%=23.45/3.52
(100/x)*x=(23.45/3.52)*x       - we multiply both sides of the equation by x
100=6.6619318181818*x       - we divide both sides of the equation by (6.6619318181818) to get x
100/6.6619318181818=x
15.01066098081=x
x=15.01066098081

now we have:
3.52 is 15.01066098081% of 23.45