475.24 is what percent of 23.76 - 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 23.76 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 23.76, so we can write it down as 100%=23.76.
4. We know, that x% equals 475.24 of the output value, so we can write it down as x%=475.24.
5. Now we have two simple equations:
1) 100%=23.76
2) x%=475.24
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%=23.76/475.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475.24 is what percent of 23.76

100%/x%=23.76/475.24
(100/x)*x=(23.76/475.24)*x       - we multiply both sides of the equation by x
100=0.049995791600034*x       - we divide both sides of the equation by (0.049995791600034) to get x
100/0.049995791600034=x
2000.1683501684=x
x=2000.1683501684

now we have:
475.24 is 2000.1683501684% of 23.76