What is 149.99 percent of 249.99 - 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 249.99 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 249.99 is 100%, so we can write it down as 249.99=100%.
4. We know, that x is 149.99% of the output value, so we can write it down as x=149.99%.
5. Now we have two simple equations:
1) 249.99=100%
2) x=149.99%
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:
249.99/x=100%/149.99%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 149.99% of 249.99

249.99/x=100/149.99
(249.99/x)*x=(100/149.99)*x       - we multiply both sides of the equation by x
249.99=0.66671111407427*x       - we divide both sides of the equation by (0.66671111407427) to get x
249.99/0.66671111407427=x
374.960001=x
x=374.960001

now we have:
149.99% of 249.99=374.960001