5.7 is what percent of 24.76 - 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 24.76 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 24.76, so we can write it down as 100%=24.76.
4. We know, that x% equals 5.7 of the output value, so we can write it down as x%=5.7.
5. Now we have two simple equations:
1) 100%=24.76
2) x%=5.7
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%=24.76/5.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.7 is what percent of 24.76

100%/x%=24.76/5.7
(100/x)*x=(24.76/5.7)*x       - we multiply both sides of the equation by x
100=4.3438596491228*x       - we divide both sides of the equation by (4.3438596491228) to get x
100/4.3438596491228=x
23.021001615509=x
x=23.021001615509

now we have:
5.7 is 23.021001615509% of 24.76