629.77 is what percent of 3777.08 - 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 3777.08 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 3777.08, so we can write it down as 100%=3777.08.
4. We know, that x% equals 629.77 of the output value, so we can write it down as x%=629.77.
5. Now we have two simple equations:
1) 100%=3777.08
2) x%=629.77
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%=3777.08/629.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 629.77 is what percent of 3777.08

100%/x%=3777.08/629.77
(100/x)*x=(3777.08/629.77)*x       - we multiply both sides of the equation by x
100=5.9975546628134*x       - we divide both sides of the equation by (5.9975546628134) to get x
100/5.9975546628134=x
16.673462039459=x
x=16.673462039459

now we have:
629.77 is 16.673462039459% of 3777.08