248.4 is what percent of 1540 - 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 1540 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 1540, so we can write it down as 100%=1540.
4. We know, that x% equals 248.4 of the output value, so we can write it down as x%=248.4.
5. Now we have two simple equations:
1) 100%=1540
2) x%=248.4
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%=1540/248.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.4 is what percent of 1540

100%/x%=1540/248.4
(100/x)*x=(1540/248.4)*x       - we multiply both sides of the equation by x
100=6.1996779388084*x       - we divide both sides of the equation by (6.1996779388084) to get x
100/6.1996779388084=x
16.12987012987=x
x=16.12987012987

now we have:
248.4 is 16.12987012987% of 1540