24.67 is what percent of 102.881 - 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 102.881 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 102.881, so we can write it down as 100%=102.881.
4. We know, that x% equals 24.67 of the output value, so we can write it down as x%=24.67.
5. Now we have two simple equations:
1) 100%=102.881
2) x%=24.67
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%=102.881/24.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.67 is what percent of 102.881

100%/x%=102.881/24.67
(100/x)*x=(102.881/24.67)*x       - we multiply both sides of the equation by x
100=4.1702877989461*x       - we divide both sides of the equation by (4.1702877989461) to get x
100/4.1702877989461=x
23.979160389188=x
x=23.979160389188

now we have:
24.67 is 23.979160389188% of 102.881