54.92 is what percent of 692.18 - 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 692.18 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 692.18, so we can write it down as 100%=692.18.
4. We know, that x% equals 54.92 of the output value, so we can write it down as x%=54.92.
5. Now we have two simple equations:
1) 100%=692.18
2) x%=54.92
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%=692.18/54.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.92 is what percent of 692.18

100%/x%=692.18/54.92
(100/x)*x=(692.18/54.92)*x       - we multiply both sides of the equation by x
100=12.603423160961*x       - we divide both sides of the equation by (12.603423160961) to get x
100/12.603423160961=x
7.9343523360975=x
x=7.9343523360975

now we have:
54.92 is 7.9343523360975% of 692.18