3.45 is what percent of 55.925 - 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 55.925 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 55.925, so we can write it down as 100%=55.925.
4. We know, that x% equals 3.45 of the output value, so we can write it down as x%=3.45.
5. Now we have two simple equations:
1) 100%=55.925
2) x%=3.45
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%=55.925/3.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.45 is what percent of 55.925

100%/x%=55.925/3.45
(100/x)*x=(55.925/3.45)*x       - we multiply both sides of the equation by x
100=16.210144927536*x       - we divide both sides of the equation by (16.210144927536) to get x
100/16.210144927536=x
6.1689763075548=x
x=6.1689763075548

now we have:
3.45 is 6.1689763075548% of 55.925