454.45 is what percent of 3035.34 - 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 3035.34 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 3035.34, so we can write it down as 100%=3035.34.
4. We know, that x% equals 454.45 of the output value, so we can write it down as x%=454.45.
5. Now we have two simple equations:
1) 100%=3035.34
2) x%=454.45
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%=3035.34/454.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 454.45 is what percent of 3035.34

100%/x%=3035.34/454.45
(100/x)*x=(3035.34/454.45)*x       - we multiply both sides of the equation by x
100=6.6791506216305*x       - we divide both sides of the equation by (6.6791506216305) to get x
100/6.6791506216305=x
14.971963602101=x
x=14.971963602101

now we have:
454.45 is 14.971963602101% of 3035.34