74.88 is what percent of 224.93 - 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 224.93 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 224.93, so we can write it down as 100%=224.93.
4. We know, that x% equals 74.88 of the output value, so we can write it down as x%=74.88.
5. Now we have two simple equations:
1) 100%=224.93
2) x%=74.88
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%=224.93/74.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.88 is what percent of 224.93

100%/x%=224.93/74.88
(100/x)*x=(224.93/74.88)*x       - we multiply both sides of the equation by x
100=3.0038728632479*x       - we divide both sides of the equation by (3.0038728632479) to get x
100/3.0038728632479=x
33.290356999956=x
x=33.290356999956

now we have:
74.88 is 33.290356999956% of 224.93