315.46 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 315.46 of the output value, so we can write it down as x%=315.46.
5. Now we have two simple equations:
1) 100%=355
2) x%=315.46
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%=355/315.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.46 is what percent of 355

100%/x%=355/315.46
(100/x)*x=(355/315.46)*x       - we multiply both sides of the equation by x
100=1.1253407722057*x       - we divide both sides of the equation by (1.1253407722057) to get x
100/1.1253407722057=x
88.861971830986=x
x=88.861971830986

now we have:
315.46 is 88.861971830986% of 355