32853.5 is what percent of 120000 - 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 120000 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 120000, so we can write it down as 100%=120000.
4. We know, that x% equals 32853.5 of the output value, so we can write it down as x%=32853.5.
5. Now we have two simple equations:
1) 100%=120000
2) x%=32853.5
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%=120000/32853.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32853.5 is what percent of 120000

100%/x%=120000/32853.5
(100/x)*x=(120000/32853.5)*x       - we multiply both sides of the equation by x
100=3.652578872875*x       - we divide both sides of the equation by (3.652578872875) to get x
100/3.652578872875=x
27.377916666667=x
x=27.377916666667

now we have:
32853.5 is 27.377916666667% of 120000