388.41 is what percent of 1.07 - 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 1.07 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 1.07, so we can write it down as 100%=1.07.
4. We know, that x% equals 388.41 of the output value, so we can write it down as x%=388.41.
5. Now we have two simple equations:
1) 100%=1.07
2) x%=388.41
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%=1.07/388.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.41 is what percent of 1.07

100%/x%=1.07/388.41
(100/x)*x=(1.07/388.41)*x       - we multiply both sides of the equation by x
100=0.0027548209366391*x       - we divide both sides of the equation by (0.0027548209366391) to get x
100/0.0027548209366391=x
36300=x
x=36300

now we have:
388.41 is 36300% of 1.07