3.77 is what percent of 2093 - 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 2093 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 2093, so we can write it down as 100%=2093.
4. We know, that x% equals 3.77 of the output value, so we can write it down as x%=3.77.
5. Now we have two simple equations:
1) 100%=2093
2) x%=3.77
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%=2093/3.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.77 is what percent of 2093

100%/x%=2093/3.77
(100/x)*x=(2093/3.77)*x       - we multiply both sides of the equation by x
100=555.1724137931*x       - we divide both sides of the equation by (555.1724137931) to get x
100/555.1724137931=x
0.18012422360248=x
x=0.18012422360248

now we have:
3.77 is 0.18012422360248% of 2093