778 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 778 of the output value, so we can write it down as x%=778.
5. Now we have two simple equations:
1) 100%=2
2) x%=778
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%=2/778
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778 is what percent of 2

100%/x%=2/778
(100/x)*x=(2/778)*x       - we multiply both sides of the equation by x
100=0.0025706940874036*x       - we divide both sides of the equation by (0.0025706940874036) to get x
100/0.0025706940874036=x
38900=x
x=38900

now we have:
778 is 38900% of 2