27.34 is what percent of 625.66 - 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 625.66 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 625.66, so we can write it down as 100%=625.66.
4. We know, that x% equals 27.34 of the output value, so we can write it down as x%=27.34.
5. Now we have two simple equations:
1) 100%=625.66
2) x%=27.34
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%=625.66/27.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.34 is what percent of 625.66

100%/x%=625.66/27.34
(100/x)*x=(625.66/27.34)*x       - we multiply both sides of the equation by x
100=22.884418434528*x       - we divide both sides of the equation by (22.884418434528) to get x
100/22.884418434528=x
4.3697855065051=x
x=4.3697855065051

now we have:
27.34 is 4.3697855065051% of 625.66