24.7 is what percent of 75.3 - 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 75.3 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 75.3, so we can write it down as 100%=75.3.
4. We know, that x% equals 24.7 of the output value, so we can write it down as x%=24.7.
5. Now we have two simple equations:
1) 100%=75.3
2) x%=24.7
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%=75.3/24.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.7 is what percent of 75.3

100%/x%=75.3/24.7
(100/x)*x=(75.3/24.7)*x       - we multiply both sides of the equation by x
100=3.0485829959514*x       - we divide both sides of the equation by (3.0485829959514) to get x
100/3.0485829959514=x
32.802124833997=x
x=32.802124833997

now we have:
24.7 is 32.802124833997% of 75.3