92.4 is what percent of 1502.71 - 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 1502.71 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 1502.71, so we can write it down as 100%=1502.71.
4. We know, that x% equals 92.4 of the output value, so we can write it down as x%=92.4.
5. Now we have two simple equations:
1) 100%=1502.71
2) x%=92.4
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%=1502.71/92.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.4 is what percent of 1502.71

100%/x%=1502.71/92.4
(100/x)*x=(1502.71/92.4)*x       - we multiply both sides of the equation by x
100=16.263095238095*x       - we divide both sides of the equation by (16.263095238095) to get x
100/16.263095238095=x
6.1488910035869=x
x=6.1488910035869

now we have:
92.4 is 6.1488910035869% of 1502.71