1046.86 is what percent of 146.47 - 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 146.47 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 146.47, so we can write it down as 100%=146.47.
4. We know, that x% equals 1046.86 of the output value, so we can write it down as x%=1046.86.
5. Now we have two simple equations:
1) 100%=146.47
2) x%=1046.86
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%=146.47/1046.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1046.86 is what percent of 146.47

100%/x%=146.47/1046.86
(100/x)*x=(146.47/1046.86)*x       - we multiply both sides of the equation by x
100=0.13991364652389*x       - we divide both sides of the equation by (0.13991364652389) to get x
100/0.13991364652389=x
714.72656516693=x
x=714.72656516693

now we have:
1046.86 is 714.72656516693% of 146.47