843.12 is what percent of 923.5 - 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 923.5 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 923.5, so we can write it down as 100%=923.5.
4. We know, that x% equals 843.12 of the output value, so we can write it down as x%=843.12.
5. Now we have two simple equations:
1) 100%=923.5
2) x%=843.12
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%=923.5/843.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 843.12 is what percent of 923.5

100%/x%=923.5/843.12
(100/x)*x=(923.5/843.12)*x       - we multiply both sides of the equation by x
100=1.0953363696745*x       - we divide both sides of the equation by (1.0953363696745) to get x
100/1.0953363696745=x
91.296155928533=x
x=91.296155928533

now we have:
843.12 is 91.296155928533% of 923.5