164.45 is what percent of 251.84 - 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 251.84 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 251.84, so we can write it down as 100%=251.84.
4. We know, that x% equals 164.45 of the output value, so we can write it down as x%=164.45.
5. Now we have two simple equations:
1) 100%=251.84
2) x%=164.45
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%=251.84/164.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.45 is what percent of 251.84

100%/x%=251.84/164.45
(100/x)*x=(251.84/164.45)*x       - we multiply both sides of the equation by x
100=1.5314077227121*x       - we divide both sides of the equation by (1.5314077227121) to get x
100/1.5314077227121=x
65.299396442186=x
x=65.299396442186

now we have:
164.45 is 65.299396442186% of 251.84