322.4 is what percent of 692.4 - 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 692.4 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 692.4, so we can write it down as 100%=692.4.
4. We know, that x% equals 322.4 of the output value, so we can write it down as x%=322.4.
5. Now we have two simple equations:
1) 100%=692.4
2) x%=322.4
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%=692.4/322.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 322.4 is what percent of 692.4

100%/x%=692.4/322.4
(100/x)*x=(692.4/322.4)*x       - we multiply both sides of the equation by x
100=2.1476426799007*x       - we divide both sides of the equation by (2.1476426799007) to get x
100/2.1476426799007=x
46.562680531485=x
x=46.562680531485

now we have:
322.4 is 46.562680531485% of 692.4