433.12 is what percent of 2747.85 - 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 2747.85 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 2747.85, so we can write it down as 100%=2747.85.
4. We know, that x% equals 433.12 of the output value, so we can write it down as x%=433.12.
5. Now we have two simple equations:
1) 100%=2747.85
2) x%=433.12
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%=2747.85/433.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 433.12 is what percent of 2747.85

100%/x%=2747.85/433.12
(100/x)*x=(2747.85/433.12)*x       - we multiply both sides of the equation by x
100=6.3443156630957*x       - we divide both sides of the equation by (6.3443156630957) to get x
100/6.3443156630957=x
15.762141310479=x
x=15.762141310479

now we have:
433.12 is 15.762141310479% of 2747.85