24 is what percent of 1.638 - 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 1.638 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 1.638, so we can write it down as 100%=1.638.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=1.638
2) x%=24
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%=1.638/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 1.638

100%/x%=1.638/24
(100/x)*x=(1.638/24)*x       - we multiply both sides of the equation by x
100=0.06825*x       - we divide both sides of the equation by (0.06825) to get x
100/0.06825=x
1465.2014652015=x
x=1465.2014652015

now we have:
24 is 1465.2014652015% of 1.638