83 is what percent of 1077 - 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 1077 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 1077, so we can write it down as 100%=1077.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=1077
2) x%=83
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%=1077/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 1077

100%/x%=1077/83
(100/x)*x=(1077/83)*x       - we multiply both sides of the equation by x
100=12.975903614458*x       - we divide both sides of the equation by (12.975903614458) to get x
100/12.975903614458=x
7.7065923862581=x
x=7.7065923862581

now we have:
83 is 7.7065923862581% of 1077