307.85 is what percent of 1745.6 - 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 1745.6 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 1745.6, so we can write it down as 100%=1745.6.
4. We know, that x% equals 307.85 of the output value, so we can write it down as x%=307.85.
5. Now we have two simple equations:
1) 100%=1745.6
2) x%=307.85
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%=1745.6/307.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.85 is what percent of 1745.6

100%/x%=1745.6/307.85
(100/x)*x=(1745.6/307.85)*x       - we multiply both sides of the equation by x
100=5.67029397434*x       - we divide both sides of the equation by (5.67029397434) to get x
100/5.67029397434=x
17.6357699358=x
x=17.6357699358

now we have:
307.85 is 17.6357699358% of 1745.6