49.5 is what percent of 154 - 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 154 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 154, so we can write it down as 100%=154.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=154
2) x%=49.5
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%=154/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 154

100%/x%=154/49.5
(100/x)*x=(154/49.5)*x       - we multiply both sides of the equation by x
100=3.1111111111111*x       - we divide both sides of the equation by (3.1111111111111) to get x
100/3.1111111111111=x
32.142857142857=x
x=32.142857142857

now we have:
49.5 is 32.142857142857% of 154