164.79 is what percent of 587.07 - 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 587.07 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 587.07, so we can write it down as 100%=587.07.
4. We know, that x% equals 164.79 of the output value, so we can write it down as x%=164.79.
5. Now we have two simple equations:
1) 100%=587.07
2) x%=164.79
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%=587.07/164.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.79 is what percent of 587.07

100%/x%=587.07/164.79
(100/x)*x=(587.07/164.79)*x       - we multiply both sides of the equation by x
100=3.5625341343528*x       - we divide both sides of the equation by (3.5625341343528) to get x
100/3.5625341343528=x
28.069906484746=x
x=28.069906484746

now we have:
164.79 is 28.069906484746% of 587.07