20 is what percent of 757 - 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 757 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 757, so we can write it down as 100%=757.
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%=757
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%=757/20
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 757

100%/x%=757/20
(100/x)*x=(757/20)*x       - we multiply both sides of the equation by x
100=37.85*x       - we divide both sides of the equation by (37.85) to get x
100/37.85=x
2.6420079260238=x
x=2.6420079260238

now we have:
20 is 2.6420079260238% of 757