635.09 is what percent of 1223.69 - 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 1223.69 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 1223.69, so we can write it down as 100%=1223.69.
4. We know, that x% equals 635.09 of the output value, so we can write it down as x%=635.09.
5. Now we have two simple equations:
1) 100%=1223.69
2) x%=635.09
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%=1223.69/635.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 635.09 is what percent of 1223.69

100%/x%=1223.69/635.09
(100/x)*x=(1223.69/635.09)*x       - we multiply both sides of the equation by x
100=1.9267977766931*x       - we divide both sides of the equation by (1.9267977766931) to get x
100/1.9267977766931=x
51.899582410578=x
x=51.899582410578

now we have:
635.09 is 51.899582410578% of 1223.69