254.65 is what percent of 164.45 - 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 164.45 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 164.45, so we can write it down as 100%=164.45.
4. We know, that x% equals 254.65 of the output value, so we can write it down as x%=254.65.
5. Now we have two simple equations:
1) 100%=164.45
2) x%=254.65
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%=164.45/254.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.65 is what percent of 164.45

100%/x%=164.45/254.65
(100/x)*x=(164.45/254.65)*x       - we multiply both sides of the equation by x
100=0.64578833693305*x       - we divide both sides of the equation by (0.64578833693305) to get x
100/0.64578833693305=x
154.84949832776=x
x=154.84949832776

now we have:
254.65 is 154.84949832776% of 164.45