49.59 is what percent of 83.33 - 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 83.33 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 83.33, so we can write it down as 100%=83.33.
4. We know, that x% equals 49.59 of the output value, so we can write it down as x%=49.59.
5. Now we have two simple equations:
1) 100%=83.33
2) x%=49.59
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%=83.33/49.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.59 is what percent of 83.33

100%/x%=83.33/49.59
(100/x)*x=(83.33/49.59)*x       - we multiply both sides of the equation by x
100=1.6803791086913*x       - we divide both sides of the equation by (1.6803791086913) to get x
100/1.6803791086913=x
59.510380415217=x
x=59.510380415217

now we have:
49.59 is 59.510380415217% of 83.33