24.88 is what percent of 401.35 - 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 401.35 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 401.35, so we can write it down as 100%=401.35.
4. We know, that x% equals 24.88 of the output value, so we can write it down as x%=24.88.
5. Now we have two simple equations:
1) 100%=401.35
2) x%=24.88
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%=401.35/24.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.88 is what percent of 401.35

100%/x%=401.35/24.88
(100/x)*x=(401.35/24.88)*x       - we multiply both sides of the equation by x
100=16.131430868167*x       - we divide both sides of the equation by (16.131430868167) to get x
100/16.131430868167=x
6.1990781113741=x
x=6.1990781113741

now we have:
24.88 is 6.1990781113741% of 401.35