35 is what percent of 637.875 - 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 637.875 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 637.875, so we can write it down as 100%=637.875.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=637.875
2) x%=35
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%=637.875/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 637.875

100%/x%=637.875/35
(100/x)*x=(637.875/35)*x       - we multiply both sides of the equation by x
100=18.225*x       - we divide both sides of the equation by (18.225) to get x
100/18.225=x
5.4869684499314=x
x=5.4869684499314

now we have:
35 is 5.4869684499314% of 637.875