165.98 is what percent of 256.45 - 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 256.45 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 256.45, so we can write it down as 100%=256.45.
4. We know, that x% equals 165.98 of the output value, so we can write it down as x%=165.98.
5. Now we have two simple equations:
1) 100%=256.45
2) x%=165.98
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%=256.45/165.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.98 is what percent of 256.45

100%/x%=256.45/165.98
(100/x)*x=(256.45/165.98)*x       - we multiply both sides of the equation by x
100=1.5450656705627*x       - we divide both sides of the equation by (1.5450656705627) to get x
100/1.5450656705627=x
64.72216806395=x
x=64.72216806395

now we have:
165.98 is 64.72216806395% of 256.45