24.57 is what percent of 438.68 - 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 438.68 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 438.68, so we can write it down as 100%=438.68.
4. We know, that x% equals 24.57 of the output value, so we can write it down as x%=24.57.
5. Now we have two simple equations:
1) 100%=438.68
2) x%=24.57
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%=438.68/24.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.57 is what percent of 438.68

100%/x%=438.68/24.57
(100/x)*x=(438.68/24.57)*x       - we multiply both sides of the equation by x
100=17.854293854294*x       - we divide both sides of the equation by (17.854293854294) to get x
100/17.854293854294=x
5.6008935898605=x
x=5.6008935898605

now we have:
24.57 is 5.6008935898605% of 438.68