983.45 is what percent of 6123.83 - 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 6123.83 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 6123.83, so we can write it down as 100%=6123.83.
4. We know, that x% equals 983.45 of the output value, so we can write it down as x%=983.45.
5. Now we have two simple equations:
1) 100%=6123.83
2) x%=983.45
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%=6123.83/983.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 983.45 is what percent of 6123.83

100%/x%=6123.83/983.45
(100/x)*x=(6123.83/983.45)*x       - we multiply both sides of the equation by x
100=6.2268849458539*x       - we divide both sides of the equation by (6.2268849458539) to get x
100/6.2268849458539=x
16.059394202648=x
x=16.059394202648

now we have:
983.45 is 16.059394202648% of 6123.83