35.65 is what percent of 375 - 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 375 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 375, so we can write it down as 100%=375.
4. We know, that x% equals 35.65 of the output value, so we can write it down as x%=35.65.
5. Now we have two simple equations:
1) 100%=375
2) x%=35.65
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%=375/35.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.65 is what percent of 375

100%/x%=375/35.65
(100/x)*x=(375/35.65)*x       - we multiply both sides of the equation by x
100=10.518934081346*x       - we divide both sides of the equation by (10.518934081346) to get x
100/10.518934081346=x
9.5066666666667=x
x=9.5066666666667

now we have:
35.65 is 9.5066666666667% of 375