149.95 is what percent of 299.95 - 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 299.95 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 299.95, so we can write it down as 100%=299.95.
4. We know, that x% equals 149.95 of the output value, so we can write it down as x%=149.95.
5. Now we have two simple equations:
1) 100%=299.95
2) x%=149.95
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%=299.95/149.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.95 is what percent of 299.95

100%/x%=299.95/149.95
(100/x)*x=(299.95/149.95)*x       - we multiply both sides of the equation by x
100=2.0003334444815*x       - we divide both sides of the equation by (2.0003334444815) to get x
100/2.0003334444815=x
49.991665277546=x
x=49.991665277546

now we have:
149.95 is 49.991665277546% of 299.95