243.5 is what percent of 286.4 - 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 286.4 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 286.4, so we can write it down as 100%=286.4.
4. We know, that x% equals 243.5 of the output value, so we can write it down as x%=243.5.
5. Now we have two simple equations:
1) 100%=286.4
2) x%=243.5
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%=286.4/243.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 243.5 is what percent of 286.4

100%/x%=286.4/243.5
(100/x)*x=(286.4/243.5)*x       - we multiply both sides of the equation by x
100=1.176180698152*x       - we divide both sides of the equation by (1.176180698152) to get x
100/1.176180698152=x
85.02094972067=x
x=85.02094972067

now we have:
243.5 is 85.02094972067% of 286.4