24.12 is what percent of 32.2 - 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 32.2 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 32.2, so we can write it down as 100%=32.2.
4. We know, that x% equals 24.12 of the output value, so we can write it down as x%=24.12.
5. Now we have two simple equations:
1) 100%=32.2
2) x%=24.12
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%=32.2/24.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.12 is what percent of 32.2

100%/x%=32.2/24.12
(100/x)*x=(32.2/24.12)*x       - we multiply both sides of the equation by x
100=1.334991708126*x       - we divide both sides of the equation by (1.334991708126) to get x
100/1.334991708126=x
74.906832298137=x
x=74.906832298137

now we have:
24.12 is 74.906832298137% of 32.2