67.48 is what percent of 843.64 - 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 843.64 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 843.64, so we can write it down as 100%=843.64.
4. We know, that x% equals 67.48 of the output value, so we can write it down as x%=67.48.
5. Now we have two simple equations:
1) 100%=843.64
2) x%=67.48
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%=843.64/67.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.48 is what percent of 843.64

100%/x%=843.64/67.48
(100/x)*x=(843.64/67.48)*x       - we multiply both sides of the equation by x
100=12.502074688797*x       - we divide both sides of the equation by (12.502074688797) to get x
100/12.502074688797=x
7.9986724195154=x
x=7.9986724195154

now we have:
67.48 is 7.9986724195154% of 843.64