149.93 is what percent of 299.99 - 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 299.99 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 299.99, so we can write it down as 100%=299.99.
4. We know, that x% equals 149.93 of the output value, so we can write it down as x%=149.93.
5. Now we have two simple equations:
1) 100%=299.99
2) x%=149.93
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%=299.99/149.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.93 is what percent of 299.99

100%/x%=299.99/149.93
(100/x)*x=(299.99/149.93)*x       - we multiply both sides of the equation by x
100=2.0008670712999*x       - we divide both sides of the equation by (2.0008670712999) to get x
100/2.0008670712999=x
49.978332611087=x
x=49.978332611087

now we have:
149.93 is 49.978332611087% of 299.99