78 is what percent of 1729 - 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 1729 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 1729, so we can write it down as 100%=1729.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=1729
2) x%=78
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%=1729/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 1729

100%/x%=1729/78
(100/x)*x=(1729/78)*x       - we multiply both sides of the equation by x
100=22.166666666667*x       - we divide both sides of the equation by (22.166666666667) to get x
100/22.166666666667=x
4.5112781954887=x
x=4.5112781954887

now we have:
78 is 4.5112781954887% of 1729