343.96 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 343.96 of the output value, so we can write it down as x%=343.96.
5. Now we have two simple equations:
1) 100%=500
2) x%=343.96
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%=500/343.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.96 is what percent of 500

100%/x%=500/343.96
(100/x)*x=(500/343.96)*x       - we multiply both sides of the equation by x
100=1.4536574020235*x       - we divide both sides of the equation by (1.4536574020235) to get x
100/1.4536574020235=x
68.792=x
x=68.792

now we have:
343.96 is 68.792% of 500