157.77 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 157.77 of the output value, so we can write it down as x%=157.77.
5. Now we have two simple equations:
1) 100%=355
2) x%=157.77
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%=355/157.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.77 is what percent of 355

100%/x%=355/157.77
(100/x)*x=(355/157.77)*x       - we multiply both sides of the equation by x
100=2.2501109209609*x       - we divide both sides of the equation by (2.2501109209609) to get x
100/2.2501109209609=x
44.442253521127=x
x=44.442253521127

now we have:
157.77 is 44.442253521127% of 355