49.83 is what percent of 58.22 - 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 58.22 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 58.22, so we can write it down as 100%=58.22.
4. We know, that x% equals 49.83 of the output value, so we can write it down as x%=49.83.
5. Now we have two simple equations:
1) 100%=58.22
2) x%=49.83
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%=58.22/49.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.83 is what percent of 58.22

100%/x%=58.22/49.83
(100/x)*x=(58.22/49.83)*x       - we multiply both sides of the equation by x
100=1.1683724663857*x       - we divide both sides of the equation by (1.1683724663857) to get x
100/1.1683724663857=x
85.589144623841=x
x=85.589144623841

now we have:
49.83 is 85.589144623841% of 58.22