146.21 is what percent of 1249.74 - 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 1249.74 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 1249.74, so we can write it down as 100%=1249.74.
4. We know, that x% equals 146.21 of the output value, so we can write it down as x%=146.21.
5. Now we have two simple equations:
1) 100%=1249.74
2) x%=146.21
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%=1249.74/146.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.21 is what percent of 1249.74

100%/x%=1249.74/146.21
(100/x)*x=(1249.74/146.21)*x       - we multiply both sides of the equation by x
100=8.5475685657616*x       - we divide both sides of the equation by (8.5475685657616) to get x
100/8.5475685657616=x
11.699233440556=x
x=11.699233440556

now we have:
146.21 is 11.699233440556% of 1249.74