8.43 is what percent of 6.47 - 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 6.47 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 6.47, so we can write it down as 100%=6.47.
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%=6.47
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%=6.47/8.43
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 6.47

100%/x%=6.47/8.43
(100/x)*x=(6.47/8.43)*x       - we multiply both sides of the equation by x
100=0.76749703440095*x       - we divide both sides of the equation by (0.76749703440095) to get x
100/0.76749703440095=x
130.29366306028=x
x=130.29366306028

now we have:
8.43 is 130.29366306028% of 6.47