49 is what percent of 18.4 - 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 18.4 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 18.4, so we can write it down as 100%=18.4.
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%=18.4
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%=18.4/49
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 18.4

100%/x%=18.4/49
(100/x)*x=(18.4/49)*x       - we multiply both sides of the equation by x
100=0.37551020408163*x       - we divide both sides of the equation by (0.37551020408163) to get x
100/0.37551020408163=x
266.30434782609=x
x=266.30434782609

now we have:
49 is 266.30434782609% of 18.4