0.77 is what percent of 0.79 - 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 0.79 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 0.79, so we can write it down as 100%=0.79.
4. We know, that x% equals 0.77 of the output value, so we can write it down as x%=0.77.
5. Now we have two simple equations:
1) 100%=0.79
2) x%=0.77
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%=0.79/0.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.77 is what percent of 0.79

100%/x%=0.79/0.77
(100/x)*x=(0.79/0.77)*x       - we multiply both sides of the equation by x
100=1.025974025974*x       - we divide both sides of the equation by (1.025974025974) to get x
100/1.025974025974=x
97.46835443038=x
x=97.46835443038

now we have:
0.77 is 97.46835443038% of 0.79