5 is what percent of 10.706 - 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 10.706 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 10.706, so we can write it down as 100%=10.706.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=10.706
2) x%=5
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%=10.706/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 10.706

100%/x%=10.706/5
(100/x)*x=(10.706/5)*x       - we multiply both sides of the equation by x
100=2.1412*x       - we divide both sides of the equation by (2.1412) to get x
100/2.1412=x
46.702783485896=x
x=46.702783485896

now we have:
5 is 46.702783485896% of 10.706