76.1 is what percent of 20 - 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 20 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 20, so we can write it down as 100%=20.
4. We know, that x% equals 76.1 of the output value, so we can write it down as x%=76.1.
5. Now we have two simple equations:
1) 100%=20
2) x%=76.1
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%=20/76.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.1 is what percent of 20

100%/x%=20/76.1
(100/x)*x=(20/76.1)*x       - we multiply both sides of the equation by x
100=0.26281208935611*x       - we divide both sides of the equation by (0.26281208935611) to get x
100/0.26281208935611=x
380.5=x
x=380.5

now we have:
76.1 is 380.5% of 20