164.09 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 164.09 of the output value, so we can write it down as x%=164.09.
5. Now we have two simple equations:
1) 100%=250
2) x%=164.09
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%=250/164.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.09 is what percent of 250

100%/x%=250/164.09
(100/x)*x=(250/164.09)*x       - we multiply both sides of the equation by x
100=1.5235541471144*x       - we divide both sides of the equation by (1.5235541471144) to get x
100/1.5235541471144=x
65.636=x
x=65.636

now we have:
164.09 is 65.636% of 250