55.78 is what percent of 929.66 - 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 929.66 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 929.66, so we can write it down as 100%=929.66.
4. We know, that x% equals 55.78 of the output value, so we can write it down as x%=55.78.
5. Now we have two simple equations:
1) 100%=929.66
2) x%=55.78
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%=929.66/55.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.78 is what percent of 929.66

100%/x%=929.66/55.78
(100/x)*x=(929.66/55.78)*x       - we multiply both sides of the equation by x
100=16.666547149516*x       - we divide both sides of the equation by (16.666547149516) to get x
100/16.666547149516=x
6.0000430264828=x
x=6.0000430264828

now we have:
55.78 is 6.0000430264828% of 929.66