55.25 is what percent of 830.68 - 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 830.68 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 830.68, so we can write it down as 100%=830.68.
4. We know, that x% equals 55.25 of the output value, so we can write it down as x%=55.25.
5. Now we have two simple equations:
1) 100%=830.68
2) x%=55.25
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%=830.68/55.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.25 is what percent of 830.68

100%/x%=830.68/55.25
(100/x)*x=(830.68/55.25)*x       - we multiply both sides of the equation by x
100=15.034932126697*x       - we divide both sides of the equation by (15.034932126697) to get x
100/15.034932126697=x
6.6511773486782=x
x=6.6511773486782

now we have:
55.25 is 6.6511773486782% of 830.68