458.48 is what percent of 3150 - 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 3150 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 3150, so we can write it down as 100%=3150.
4. We know, that x% equals 458.48 of the output value, so we can write it down as x%=458.48.
5. Now we have two simple equations:
1) 100%=3150
2) x%=458.48
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%=3150/458.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458.48 is what percent of 3150

100%/x%=3150/458.48
(100/x)*x=(3150/458.48)*x       - we multiply both sides of the equation by x
100=6.8705287035421*x       - we divide both sides of the equation by (6.8705287035421) to get x
100/6.8705287035421=x
14.554920634921=x
x=14.554920634921

now we have:
458.48 is 14.554920634921% of 3150