57 is what percent of 2205 - 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 2205 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 2205, so we can write it down as 100%=2205.
4. We know, that x% equals 57 of the output value, so we can write it down as x%=57.
5. Now we have two simple equations:
1) 100%=2205
2) x%=57
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%=2205/57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57 is what percent of 2205

100%/x%=2205/57
(100/x)*x=(2205/57)*x       - we multiply both sides of the equation by x
100=38.684210526316*x       - we divide both sides of the equation by (38.684210526316) to get x
100/38.684210526316=x
2.5850340136054=x
x=2.5850340136054

now we have:
57 is 2.5850340136054% of 2205