80 is what percent of 7613 - 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 7613 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 7613, so we can write it down as 100%=7613.
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%=7613
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%=7613/80
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 7613

100%/x%=7613/80
(100/x)*x=(7613/80)*x       - we multiply both sides of the equation by x
100=95.1625*x       - we divide both sides of the equation by (95.1625) to get x
100/95.1625=x
1.0508340995665=x
x=1.0508340995665

now we have:
80 is 1.0508340995665% of 7613