177.42 is what percent of 355 - 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 355 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 355, so we can write it down as 100%=355.
4. We know, that x% equals 177.42 of the output value, so we can write it down as x%=177.42.
5. Now we have two simple equations:
1) 100%=355
2) x%=177.42
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%=355/177.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.42 is what percent of 355

100%/x%=355/177.42
(100/x)*x=(355/177.42)*x       - we multiply both sides of the equation by x
100=2.0009018149025*x       - we divide both sides of the equation by (2.0009018149025) to get x
100/2.0009018149025=x
49.977464788732=x
x=49.977464788732

now we have:
177.42 is 49.977464788732% of 355