247.1 is what percent of 1460.24 - 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 1460.24 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 1460.24, so we can write it down as 100%=1460.24.
4. We know, that x% equals 247.1 of the output value, so we can write it down as x%=247.1.
5. Now we have two simple equations:
1) 100%=1460.24
2) x%=247.1
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%=1460.24/247.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.1 is what percent of 1460.24

100%/x%=1460.24/247.1
(100/x)*x=(1460.24/247.1)*x       - we multiply both sides of the equation by x
100=5.9095103197086*x       - we divide both sides of the equation by (5.9095103197086) to get x
100/5.9095103197086=x
16.921875856024=x
x=16.921875856024

now we have:
247.1 is 16.921875856024% of 1460.24