356.4 is what percent of 381.24 - 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 381.24 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 381.24, so we can write it down as 100%=381.24.
4. We know, that x% equals 356.4 of the output value, so we can write it down as x%=356.4.
5. Now we have two simple equations:
1) 100%=381.24
2) x%=356.4
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%=381.24/356.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 356.4 is what percent of 381.24

100%/x%=381.24/356.4
(100/x)*x=(381.24/356.4)*x       - we multiply both sides of the equation by x
100=1.069696969697*x       - we divide both sides of the equation by (1.069696969697) to get x
100/1.069696969697=x
93.484419263456=x
x=93.484419263456

now we have:
356.4 is 93.484419263456% of 381.24