55.85 is what percent of 1523 - 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 1523 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 1523, so we can write it down as 100%=1523.
4. We know, that x% equals 55.85 of the output value, so we can write it down as x%=55.85.
5. Now we have two simple equations:
1) 100%=1523
2) x%=55.85
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%=1523/55.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.85 is what percent of 1523

100%/x%=1523/55.85
(100/x)*x=(1523/55.85)*x       - we multiply both sides of the equation by x
100=27.269471799463*x       - we divide both sides of the equation by (27.269471799463) to get x
100/27.269471799463=x
3.6671043992121=x
x=3.6671043992121

now we have:
55.85 is 3.6671043992121% of 1523