34.5 is what percent of 863.45 - 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 863.45 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 863.45, so we can write it down as 100%=863.45.
4. We know, that x% equals 34.5 of the output value, so we can write it down as x%=34.5.
5. Now we have two simple equations:
1) 100%=863.45
2) x%=34.5
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%=863.45/34.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.5 is what percent of 863.45

100%/x%=863.45/34.5
(100/x)*x=(863.45/34.5)*x       - we multiply both sides of the equation by x
100=25.027536231884*x       - we divide both sides of the equation by (25.027536231884) to get x
100/25.027536231884=x
3.9955990503214=x
x=3.9955990503214

now we have:
34.5 is 3.9955990503214% of 863.45