343.25 is what percent of 405.75 - 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 405.75 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 405.75, so we can write it down as 100%=405.75.
4. We know, that x% equals 343.25 of the output value, so we can write it down as x%=343.25.
5. Now we have two simple equations:
1) 100%=405.75
2) x%=343.25
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%=405.75/343.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.25 is what percent of 405.75

100%/x%=405.75/343.25
(100/x)*x=(405.75/343.25)*x       - we multiply both sides of the equation by x
100=1.1820830298616*x       - we divide both sides of the equation by (1.1820830298616) to get x
100/1.1820830298616=x
84.596426370918=x
x=84.596426370918

now we have:
343.25 is 84.596426370918% of 405.75