6.92 is what percent of 1489.49 - 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 1489.49 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 1489.49, so we can write it down as 100%=1489.49.
4. We know, that x% equals 6.92 of the output value, so we can write it down as x%=6.92.
5. Now we have two simple equations:
1) 100%=1489.49
2) x%=6.92
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%=1489.49/6.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.92 is what percent of 1489.49

100%/x%=1489.49/6.92
(100/x)*x=(1489.49/6.92)*x       - we multiply both sides of the equation by x
100=215.24421965318*x       - we divide both sides of the equation by (215.24421965318) to get x
100/215.24421965318=x
0.46458855044344=x
x=0.46458855044344

now we have:
6.92 is 0.46458855044344% of 1489.49