80 is what percent of 123900 - 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 123900 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 123900, so we can write it down as 100%=123900.
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%=123900
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%=123900/80
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 123900

100%/x%=123900/80
(100/x)*x=(123900/80)*x       - we multiply both sides of the equation by x
100=1548.75*x       - we divide both sides of the equation by (1548.75) to get x
100/1548.75=x
0.06456820016142=x
x=0.06456820016142

now we have:
80 is 0.06456820016142% of 123900