6.44 is what percent of 10395 - 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 10395 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 10395, so we can write it down as 100%=10395.
4. We know, that x% equals 6.44 of the output value, so we can write it down as x%=6.44.
5. Now we have two simple equations:
1) 100%=10395
2) x%=6.44
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%=10395/6.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.44 is what percent of 10395

100%/x%=10395/6.44
(100/x)*x=(10395/6.44)*x       - we multiply both sides of the equation by x
100=1614.1304347826*x       - we divide both sides of the equation by (1614.1304347826) to get x
100/1614.1304347826=x
0.061952861952862=x
x=0.061952861952862

now we have:
6.44 is 0.061952861952862% of 10395