6 is what percent of 3.78 - 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 3.78 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 3.78, so we can write it down as 100%=3.78.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=3.78
2) x%=6
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%=3.78/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 3.78

100%/x%=3.78/6
(100/x)*x=(3.78/6)*x       - we multiply both sides of the equation by x
100=0.63*x       - we divide both sides of the equation by (0.63) to get x
100/0.63=x
158.73015873016=x
x=158.73015873016

now we have:
6 is 158.73015873016% of 3.78