299.46 is what percent of 622.5 - 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 622.5 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 622.5, so we can write it down as 100%=622.5.
4. We know, that x% equals 299.46 of the output value, so we can write it down as x%=299.46.
5. Now we have two simple equations:
1) 100%=622.5
2) x%=299.46
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%=622.5/299.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.46 is what percent of 622.5

100%/x%=622.5/299.46
(100/x)*x=(622.5/299.46)*x       - we multiply both sides of the equation by x
100=2.07874173512*x       - we divide both sides of the equation by (2.07874173512) to get x
100/2.07874173512=x
48.1060240964=x
x=48.1060240964

now we have:
299.46 is 48.1060240964% of 622.5