1249.95 is what percent of 1899.95 - 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 1899.95 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 1899.95, so we can write it down as 100%=1899.95.
4. We know, that x% equals 1249.95 of the output value, so we can write it down as x%=1249.95.
5. Now we have two simple equations:
1) 100%=1899.95
2) x%=1249.95
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%=1899.95/1249.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1249.95 is what percent of 1899.95

100%/x%=1899.95/1249.95
(100/x)*x=(1899.95/1249.95)*x       - we multiply both sides of the equation by x
100=1.520020800832*x       - we divide both sides of the equation by (1.520020800832) to get x
100/1.520020800832=x
65.78857338351=x
x=65.78857338351

now we have:
1249.95 is 65.78857338351% of 1899.95