92.4 is what percent of 609.7 - 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 609.7 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 609.7, so we can write it down as 100%=609.7.
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%=609.7
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%=609.7/92.4
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 609.7

100%/x%=609.7/92.4
(100/x)*x=(609.7/92.4)*x       - we multiply both sides of the equation by x
100=6.5984848484848*x       - we divide both sides of the equation by (6.5984848484848) to get x
100/6.5984848484848=x
15.154994259472=x
x=15.154994259472

now we have:
92.4 is 15.154994259472% of 609.7