0.83 is what percent of 11.99 - 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 11.99 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 11.99, so we can write it down as 100%=11.99.
4. We know, that x% equals 0.83 of the output value, so we can write it down as x%=0.83.
5. Now we have two simple equations:
1) 100%=11.99
2) x%=0.83
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%=11.99/0.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.83 is what percent of 11.99

100%/x%=11.99/0.83
(100/x)*x=(11.99/0.83)*x       - we multiply both sides of the equation by x
100=14.44578313253*x       - we divide both sides of the equation by (14.44578313253) to get x
100/14.44578313253=x
6.9224353628023=x
x=6.9224353628023

now we have:
0.83 is 6.9224353628023% of 11.99