20 is what percent of 5.74 - 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 5.74 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 5.74, so we can write it down as 100%=5.74.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=5.74
2) x%=20
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%=5.74/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 5.74

100%/x%=5.74/20
(100/x)*x=(5.74/20)*x       - we multiply both sides of the equation by x
100=0.287*x       - we divide both sides of the equation by (0.287) to get x
100/0.287=x
348.432055749=x
x=348.432055749

now we have:
20 is 348.432055749% of 5.74