42.77 is what percent of 1800 - 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 1800 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 1800, so we can write it down as 100%=1800.
4. We know, that x% equals 42.77 of the output value, so we can write it down as x%=42.77.
5. Now we have two simple equations:
1) 100%=1800
2) x%=42.77
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%=1800/42.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.77 is what percent of 1800

100%/x%=1800/42.77
(100/x)*x=(1800/42.77)*x       - we multiply both sides of the equation by x
100=42.085574000468*x       - we divide both sides of the equation by (42.085574000468) to get x
100/42.085574000468=x
2.3761111111111=x
x=2.3761111111111

now we have:
42.77 is 2.3761111111111% of 1800