3.78 is what percent of 6.68 - 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 6.68 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 6.68, so we can write it down as 100%=6.68.
4. We know, that x% equals 3.78 of the output value, so we can write it down as x%=3.78.
5. Now we have two simple equations:
1) 100%=6.68
2) x%=3.78
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%=6.68/3.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.78 is what percent of 6.68

100%/x%=6.68/3.78
(100/x)*x=(6.68/3.78)*x       - we multiply both sides of the equation by x
100=1.7671957671958*x       - we divide both sides of the equation by (1.7671957671958) to get x
100/1.7671957671958=x
56.586826347305=x
x=56.586826347305

now we have:
3.78 is 56.586826347305% of 6.68