454.72 is what percent of 3554.72 - 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 3554.72 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 3554.72, so we can write it down as 100%=3554.72.
4. We know, that x% equals 454.72 of the output value, so we can write it down as x%=454.72.
5. Now we have two simple equations:
1) 100%=3554.72
2) x%=454.72
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%=3554.72/454.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 454.72 is what percent of 3554.72

100%/x%=3554.72/454.72
(100/x)*x=(3554.72/454.72)*x       - we multiply both sides of the equation by x
100=7.8173821252639*x       - we divide both sides of the equation by (7.8173821252639) to get x
100/7.8173821252639=x
12.792006121439=x
x=12.792006121439

now we have:
454.72 is 12.792006121439% of 3554.72