80 is what percent of 1361 - 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 1361 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 1361, so we can write it down as 100%=1361.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=1361
2) x%=80
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%=1361/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 1361

100%/x%=1361/80
(100/x)*x=(1361/80)*x       - we multiply both sides of the equation by x
100=17.0125*x       - we divide both sides of the equation by (17.0125) to get x
100/17.0125=x
5.878030859662=x
x=5.878030859662

now we have:
80 is 5.878030859662% of 1361