3.64 is what percent of 37800 - 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 37800 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 37800, so we can write it down as 100%=37800.
4. We know, that x% equals 3.64 of the output value, so we can write it down as x%=3.64.
5. Now we have two simple equations:
1) 100%=37800
2) x%=3.64
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%=37800/3.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.64 is what percent of 37800

100%/x%=37800/3.64
(100/x)*x=(37800/3.64)*x       - we multiply both sides of the equation by x
100=10384.615384615*x       - we divide both sides of the equation by (10384.615384615) to get x
100/10384.615384615=x
0.0096296296296296=x
x=0.0096296296296296

now we have:
3.64 is 0.0096296296296296% of 37800