649.97 is what percent of 629.13 - 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 629.13 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 629.13, so we can write it down as 100%=629.13.
4. We know, that x% equals 649.97 of the output value, so we can write it down as x%=649.97.
5. Now we have two simple equations:
1) 100%=629.13
2) x%=649.97
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%=629.13/649.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 649.97 is what percent of 629.13

100%/x%=629.13/649.97
(100/x)*x=(629.13/649.97)*x       - we multiply both sides of the equation by x
100=0.96793698170685*x       - we divide both sides of the equation by (0.96793698170685) to get x
100/0.96793698170685=x
103.31251092779=x
x=103.31251092779

now we have:
649.97 is 103.31251092779% of 629.13