24 is what percent of 1.375 - 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 1.375 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 1.375, so we can write it down as 100%=1.375.
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%=1.375
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%=1.375/24
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 1.375

100%/x%=1.375/24
(100/x)*x=(1.375/24)*x       - we multiply both sides of the equation by x
100=0.057291666666667*x       - we divide both sides of the equation by (0.057291666666667) to get x
100/0.057291666666667=x
1745.4545454545=x
x=1745.4545454545

now we have:
24 is 1745.4545454545% of 1.375