177.29 is what percent of 455.38 - 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 455.38 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 455.38, so we can write it down as 100%=455.38.
4. We know, that x% equals 177.29 of the output value, so we can write it down as x%=177.29.
5. Now we have two simple equations:
1) 100%=455.38
2) x%=177.29
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%=455.38/177.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.29 is what percent of 455.38

100%/x%=455.38/177.29
(100/x)*x=(455.38/177.29)*x       - we multiply both sides of the equation by x
100=2.5685599864629*x       - we divide both sides of the equation by (2.5685599864629) to get x
100/2.5685599864629=x
38.932320260003=x
x=38.932320260003

now we have:
177.29 is 38.932320260003% of 455.38