18.77 is what percent of 1296 - 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 1296 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 1296, so we can write it down as 100%=1296.
4. We know, that x% equals 18.77 of the output value, so we can write it down as x%=18.77.
5. Now we have two simple equations:
1) 100%=1296
2) x%=18.77
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%=1296/18.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.77 is what percent of 1296

100%/x%=1296/18.77
(100/x)*x=(1296/18.77)*x       - we multiply both sides of the equation by x
100=69.046350559403*x       - we divide both sides of the equation by (69.046350559403) to get x
100/69.046350559403=x
1.4483024691358=x
x=1.4483024691358

now we have:
18.77 is 1.4483024691358% of 1296