355.4 is what percent of 667.2 - 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 667.2 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 667.2, so we can write it down as 100%=667.2.
4. We know, that x% equals 355.4 of the output value, so we can write it down as x%=355.4.
5. Now we have two simple equations:
1) 100%=667.2
2) x%=355.4
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%=667.2/355.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.4 is what percent of 667.2

100%/x%=667.2/355.4
(100/x)*x=(667.2/355.4)*x       - we multiply both sides of the equation by x
100=1.877321328081*x       - we divide both sides of the equation by (1.877321328081) to get x
100/1.877321328081=x
53.267386091127=x
x=53.267386091127

now we have:
355.4 is 53.267386091127% of 667.2