1077.5 is what percent of 1300 - 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 1300 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 1300, so we can write it down as 100%=1300.
4. We know, that x% equals 1077.5 of the output value, so we can write it down as x%=1077.5.
5. Now we have two simple equations:
1) 100%=1300
2) x%=1077.5
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%=1300/1077.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1077.5 is what percent of 1300

100%/x%=1300/1077.5
(100/x)*x=(1300/1077.5)*x       - we multiply both sides of the equation by x
100=1.2064965197216*x       - we divide both sides of the equation by (1.2064965197216) to get x
100/1.2064965197216=x
82.884615384615=x
x=82.884615384615

now we have:
1077.5 is 82.884615384615% of 1300