5.74 is what percent of 24.25 - 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 24.25 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 24.25, so we can write it down as 100%=24.25.
4. We know, that x% equals 5.74 of the output value, so we can write it down as x%=5.74.
5. Now we have two simple equations:
1) 100%=24.25
2) x%=5.74
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%=24.25/5.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.74 is what percent of 24.25

100%/x%=24.25/5.74
(100/x)*x=(24.25/5.74)*x       - we multiply both sides of the equation by x
100=4.2247386759582*x       - we divide both sides of the equation by (4.2247386759582) to get x
100/4.2247386759582=x
23.670103092784=x
x=23.670103092784

now we have:
5.74 is 23.670103092784% of 24.25