174.25 is what percent of 676.57 - 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 676.57 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 676.57, so we can write it down as 100%=676.57.
4. We know, that x% equals 174.25 of the output value, so we can write it down as x%=174.25.
5. Now we have two simple equations:
1) 100%=676.57
2) x%=174.25
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%=676.57/174.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.25 is what percent of 676.57

100%/x%=676.57/174.25
(100/x)*x=(676.57/174.25)*x       - we multiply both sides of the equation by x
100=3.8827546628407*x       - we divide both sides of the equation by (3.8827546628407) to get x
100/3.8827546628407=x
25.754910800065=x
x=25.754910800065

now we have:
174.25 is 25.754910800065% of 676.57