164625 is what percent of 200000 - 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 200000 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 200000, so we can write it down as 100%=200000.
4. We know, that x% equals 164625 of the output value, so we can write it down as x%=164625.
5. Now we have two simple equations:
1) 100%=200000
2) x%=164625
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%=200000/164625
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164625 is what percent of 200000

100%/x%=200000/164625
(100/x)*x=(200000/164625)*x       - we multiply both sides of the equation by x
100=1.2148823082764*x       - we divide both sides of the equation by (1.2148823082764) to get x
100/1.2148823082764=x
82.3125=x
x=82.3125

now we have:
164625 is 82.3125% of 200000