3.4 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 3.4 of the output value, so we can write it down as x%=3.4.
5. Now we have two simple equations:
1) 100%=375
2) x%=3.4
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%=375/3.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 375

100%/x%=375/3.4
(100/x)*x=(375/3.4)*x       - we multiply both sides of the equation by x
100=110.29411764706*x       - we divide both sides of the equation by (110.29411764706) to get x
100/110.29411764706=x
0.90666666666667=x
x=0.90666666666667

now we have:
3.4 is 0.90666666666667% of 375