49 is what percent of 113.3 - 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 113.3 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 113.3, so we can write it down as 100%=113.3.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=113.3
2) x%=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%=113.3/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 113.3

100%/x%=113.3/49
(100/x)*x=(113.3/49)*x       - we multiply both sides of the equation by x
100=2.3122448979592*x       - we divide both sides of the equation by (2.3122448979592) to get x
100/2.3122448979592=x
43.248014121801=x
x=43.248014121801

now we have:
49 is 43.248014121801% of 113.3