167.25 is what percent of 2558.47 - 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 2558.47 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 2558.47, so we can write it down as 100%=2558.47.
4. We know, that x% equals 167.25 of the output value, so we can write it down as x%=167.25.
5. Now we have two simple equations:
1) 100%=2558.47
2) x%=167.25
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%=2558.47/167.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.25 is what percent of 2558.47

100%/x%=2558.47/167.25
(100/x)*x=(2558.47/167.25)*x       - we multiply both sides of the equation by x
100=15.297279521674*x       - we divide both sides of the equation by (15.297279521674) to get x
100/15.297279521674=x
6.5371100696901=x
x=6.5371100696901

now we have:
167.25 is 6.5371100696901% of 2558.47