83.49 is what percent of 595.46 - 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 595.46 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 595.46, so we can write it down as 100%=595.46.
4. We know, that x% equals 83.49 of the output value, so we can write it down as x%=83.49.
5. Now we have two simple equations:
1) 100%=595.46
2) x%=83.49
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%=595.46/83.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.49 is what percent of 595.46

100%/x%=595.46/83.49
(100/x)*x=(595.46/83.49)*x       - we multiply both sides of the equation by x
100=7.1321116301353*x       - we divide both sides of the equation by (7.1321116301353) to get x
100/7.1321116301353=x
14.021092936553=x
x=14.021092936553

now we have:
83.49 is 14.021092936553% of 595.46