24.05 is what percent of 86400 - 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 86400 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 86400, so we can write it down as 100%=86400.
4. We know, that x% equals 24.05 of the output value, so we can write it down as x%=24.05.
5. Now we have two simple equations:
1) 100%=86400
2) x%=24.05
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%=86400/24.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.05 is what percent of 86400

100%/x%=86400/24.05
(100/x)*x=(86400/24.05)*x       - we multiply both sides of the equation by x
100=3592.5155925156*x       - we divide both sides of the equation by (3592.5155925156) to get x
100/3592.5155925156=x
0.027835648148148=x
x=0.027835648148148

now we have:
24.05 is 0.027835648148148% of 86400