162.59 is what percent of 771.75 - 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 771.75 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 771.75, so we can write it down as 100%=771.75.
4. We know, that x% equals 162.59 of the output value, so we can write it down as x%=162.59.
5. Now we have two simple equations:
1) 100%=771.75
2) x%=162.59
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%=771.75/162.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.59 is what percent of 771.75

100%/x%=771.75/162.59
(100/x)*x=(771.75/162.59)*x       - we multiply both sides of the equation by x
100=4.7466018820346*x       - we divide both sides of the equation by (4.7466018820346) to get x
100/4.7466018820346=x
21.067703271785=x
x=21.067703271785

now we have:
162.59 is 21.067703271785% of 771.75