675.5 is what percent of 3195.5 - 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 3195.5 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 3195.5, so we can write it down as 100%=3195.5.
4. We know, that x% equals 675.5 of the output value, so we can write it down as x%=675.5.
5. Now we have two simple equations:
1) 100%=3195.5
2) x%=675.5
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%=3195.5/675.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 675.5 is what percent of 3195.5

100%/x%=3195.5/675.5
(100/x)*x=(3195.5/675.5)*x       - we multiply both sides of the equation by x
100=4.7305699481865*x       - we divide both sides of the equation by (4.7305699481865) to get x
100/4.7305699481865=x
21.139101861993=x
x=21.139101861993

now we have:
675.5 is 21.139101861993% of 3195.5