378.55 is what percent of 37855.16 - 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 37855.16 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 37855.16, so we can write it down as 100%=37855.16.
4. We know, that x% equals 378.55 of the output value, so we can write it down as x%=378.55.
5. Now we have two simple equations:
1) 100%=37855.16
2) x%=378.55
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%=37855.16/378.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.55 is what percent of 37855.16

100%/x%=37855.16/378.55
(100/x)*x=(37855.16/378.55)*x       - we multiply both sides of the equation by x
100=100.00042266543*x       - we divide both sides of the equation by (100.00042266543) to get x
100/100.00042266543=x
0.99999577336353=x
x=0.99999577336353

now we have:
378.55 is 0.99999577336353% of 37855.16