48842.5 is what percent of 180000 - 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 180000 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 180000, so we can write it down as 100%=180000.
4. We know, that x% equals 48842.5 of the output value, so we can write it down as x%=48842.5.
5. Now we have two simple equations:
1) 100%=180000
2) x%=48842.5
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%=180000/48842.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48842.5 is what percent of 180000

100%/x%=180000/48842.5
(100/x)*x=(180000/48842.5)*x       - we multiply both sides of the equation by x
100=3.6853150432513*x       - we divide both sides of the equation by (3.6853150432513) to get x
100/3.6853150432513=x
27.134722222222=x
x=27.134722222222

now we have:
48842.5 is 27.134722222222% of 180000