458.91 is what percent of 3134.09 - 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 3134.09 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 3134.09, so we can write it down as 100%=3134.09.
4. We know, that x% equals 458.91 of the output value, so we can write it down as x%=458.91.
5. Now we have two simple equations:
1) 100%=3134.09
2) x%=458.91
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%=3134.09/458.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458.91 is what percent of 3134.09

100%/x%=3134.09/458.91
(100/x)*x=(3134.09/458.91)*x       - we multiply both sides of the equation by x
100=6.8294218910026*x       - we divide both sides of the equation by (6.8294218910026) to get x
100/6.8294218910026=x
14.642527815091=x
x=14.642527815091

now we have:
458.91 is 14.642527815091% of 3134.09