6.9 is what percent of 24.13 - 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 24.13 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 24.13, so we can write it down as 100%=24.13.
4. We know, that x% equals 6.9 of the output value, so we can write it down as x%=6.9.
5. Now we have two simple equations:
1) 100%=24.13
2) x%=6.9
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%=24.13/6.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.9 is what percent of 24.13

100%/x%=24.13/6.9
(100/x)*x=(24.13/6.9)*x       - we multiply both sides of the equation by x
100=3.4971014492754*x       - we divide both sides of the equation by (3.4971014492754) to get x
100/3.4971014492754=x
28.595109821799=x
x=28.595109821799

now we have:
6.9 is 28.595109821799% of 24.13