177.56 is what percent of 248 - 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 248 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 248, so we can write it down as 100%=248.
4. We know, that x% equals 177.56 of the output value, so we can write it down as x%=177.56.
5. Now we have two simple equations:
1) 100%=248
2) x%=177.56
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%=248/177.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.56 is what percent of 248

100%/x%=248/177.56
(100/x)*x=(248/177.56)*x       - we multiply both sides of the equation by x
100=1.3967109709394*x       - we divide both sides of the equation by (1.3967109709394) to get x
100/1.3967109709394=x
71.596774193548=x
x=71.596774193548

now we have:
177.56 is 71.596774193548% of 248