782.34 is what percent of 1708 - 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 1708 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 1708, so we can write it down as 100%=1708.
4. We know, that x% equals 782.34 of the output value, so we can write it down as x%=782.34.
5. Now we have two simple equations:
1) 100%=1708
2) x%=782.34
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%=1708/782.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 782.34 is what percent of 1708

100%/x%=1708/782.34
(100/x)*x=(1708/782.34)*x       - we multiply both sides of the equation by x
100=2.1831940077204*x       - we divide both sides of the equation by (2.1831940077204) to get x
100/2.1831940077204=x
45.804449648712=x
x=45.804449648712

now we have:
782.34 is 45.804449648712% of 1708