140.25 is what percent of 1458.33 - 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 1458.33 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 1458.33, so we can write it down as 100%=1458.33.
4. We know, that x% equals 140.25 of the output value, so we can write it down as x%=140.25.
5. Now we have two simple equations:
1) 100%=1458.33
2) x%=140.25
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%=1458.33/140.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.25 is what percent of 1458.33

100%/x%=1458.33/140.25
(100/x)*x=(1458.33/140.25)*x       - we multiply both sides of the equation by x
100=10.39807486631*x       - we divide both sides of the equation by (10.39807486631) to get x
100/10.39807486631=x
9.6171648392339=x
x=9.6171648392339

now we have:
140.25 is 9.6171648392339% of 1458.33