343.14 is what percent of 425.6 - 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 425.6 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 425.6, so we can write it down as 100%=425.6.
4. We know, that x% equals 343.14 of the output value, so we can write it down as x%=343.14.
5. Now we have two simple equations:
1) 100%=425.6
2) x%=343.14
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%=425.6/343.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.14 is what percent of 425.6

100%/x%=425.6/343.14
(100/x)*x=(425.6/343.14)*x       - we multiply both sides of the equation by x
100=1.2403100775194*x       - we divide both sides of the equation by (1.2403100775194) to get x
100/1.2403100775194=x
80.625=x
x=80.625

now we have:
343.14 is 80.625% of 425.6