77.77 is what percent of 1445 - 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 1445 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 1445, so we can write it down as 100%=1445.
4. We know, that x% equals 77.77 of the output value, so we can write it down as x%=77.77.
5. Now we have two simple equations:
1) 100%=1445
2) x%=77.77
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%=1445/77.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.77 is what percent of 1445

100%/x%=1445/77.77
(100/x)*x=(1445/77.77)*x       - we multiply both sides of the equation by x
100=18.580429471519*x       - we divide both sides of the equation by (18.580429471519) to get x
100/18.580429471519=x
5.3820069204152=x
x=5.3820069204152

now we have:
77.77 is 5.3820069204152% of 1445