24.5 is what percent of 344.95 - 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 344.95 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 344.95, so we can write it down as 100%=344.95.
4. We know, that x% equals 24.5 of the output value, so we can write it down as x%=24.5.
5. Now we have two simple equations:
1) 100%=344.95
2) x%=24.5
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%=344.95/24.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.5 is what percent of 344.95

100%/x%=344.95/24.5
(100/x)*x=(344.95/24.5)*x       - we multiply both sides of the equation by x
100=14.079591836735*x       - we divide both sides of the equation by (14.079591836735) to get x
100/14.079591836735=x
7.1024786200899=x
x=7.1024786200899

now we have:
24.5 is 7.1024786200899% of 344.95