629.78 is what percent of 821.77 - 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 821.77 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 821.77, so we can write it down as 100%=821.77.
4. We know, that x% equals 629.78 of the output value, so we can write it down as x%=629.78.
5. Now we have two simple equations:
1) 100%=821.77
2) x%=629.78
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%=821.77/629.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 629.78 is what percent of 821.77

100%/x%=821.77/629.78
(100/x)*x=(821.77/629.78)*x       - we multiply both sides of the equation by x
100=1.3048524881705*x       - we divide both sides of the equation by (1.3048524881705) to get x
100/1.3048524881705=x
76.637015223238=x
x=76.637015223238

now we have:
629.78 is 76.637015223238% of 821.77