7.76 is what percent of 3.76 - 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 3.76 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 3.76, so we can write it down as 100%=3.76.
4. We know, that x% equals 7.76 of the output value, so we can write it down as x%=7.76.
5. Now we have two simple equations:
1) 100%=3.76
2) x%=7.76
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%=3.76/7.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.76 is what percent of 3.76

100%/x%=3.76/7.76
(100/x)*x=(3.76/7.76)*x       - we multiply both sides of the equation by x
100=0.48453608247423*x       - we divide both sides of the equation by (0.48453608247423) to get x
100/0.48453608247423=x
206.3829787234=x
x=206.3829787234

now we have:
7.76 is 206.3829787234% of 3.76