713.8 is what percent of 1713.8 - 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 1713.8 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 1713.8, so we can write it down as 100%=1713.8.
4. We know, that x% equals 713.8 of the output value, so we can write it down as x%=713.8.
5. Now we have two simple equations:
1) 100%=1713.8
2) x%=713.8
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%=1713.8/713.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 713.8 is what percent of 1713.8

100%/x%=1713.8/713.8
(100/x)*x=(1713.8/713.8)*x       - we multiply both sides of the equation by x
100=2.4009526478005*x       - we divide both sides of the equation by (2.4009526478005) to get x
100/2.4009526478005=x
41.650134204691=x
x=41.650134204691

now we have:
713.8 is 41.650134204691% of 1713.8