142.45 is what percent of 1582.85 - 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 1582.85 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 1582.85, so we can write it down as 100%=1582.85.
4. We know, that x% equals 142.45 of the output value, so we can write it down as x%=142.45.
5. Now we have two simple equations:
1) 100%=1582.85
2) x%=142.45
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%=1582.85/142.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.45 is what percent of 1582.85

100%/x%=1582.85/142.45
(100/x)*x=(1582.85/142.45)*x       - we multiply both sides of the equation by x
100=11.111618111618*x       - we divide both sides of the equation by (11.111618111618) to get x
100/11.111618111618=x
8.9995893483274=x
x=8.9995893483274

now we have:
142.45 is 8.9995893483274% of 1582.85