8.43 is what percent of 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 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 64, so we can write it down as 100%=64.
4. We know, that x% equals 8.43 of the output value, so we can write it down as x%=8.43.
5. Now we have two simple equations:
1) 100%=64
2) x%=8.43
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%=64/8.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.43 is what percent of 64

100%/x%=64/8.43
(100/x)*x=(64/8.43)*x       - we multiply both sides of the equation by x
100=7.5919335705813*x       - we divide both sides of the equation by (7.5919335705813) to get x
100/7.5919335705813=x
13.171875=x
x=13.171875

now we have:
8.43 is 13.171875% of 64