77.63 is what percent of 1764.28 - 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 1764.28 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 1764.28, so we can write it down as 100%=1764.28.
4. We know, that x% equals 77.63 of the output value, so we can write it down as x%=77.63.
5. Now we have two simple equations:
1) 100%=1764.28
2) x%=77.63
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%=1764.28/77.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.63 is what percent of 1764.28

100%/x%=1764.28/77.63
(100/x)*x=(1764.28/77.63)*x       - we multiply both sides of the equation by x
100=22.726780883679*x       - we divide both sides of the equation by (22.726780883679) to get x
100/22.726780883679=x
4.4000952229805=x
x=4.4000952229805

now we have:
77.63 is 4.4000952229805% of 1764.28