24.39 is what percent of 1486 - 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 1486 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 1486, so we can write it down as 100%=1486.
4. We know, that x% equals 24.39 of the output value, so we can write it down as x%=24.39.
5. Now we have two simple equations:
1) 100%=1486
2) x%=24.39
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%=1486/24.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.39 is what percent of 1486

100%/x%=1486/24.39
(100/x)*x=(1486/24.39)*x       - we multiply both sides of the equation by x
100=60.926609266093*x       - we divide both sides of the equation by (60.926609266093) to get x
100/60.926609266093=x
1.6413189771198=x
x=1.6413189771198

now we have:
24.39 is 1.6413189771198% of 1486