6.17 is what percent of 106.4 - 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 106.4 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 106.4, so we can write it down as 100%=106.4.
4. We know, that x% equals 6.17 of the output value, so we can write it down as x%=6.17.
5. Now we have two simple equations:
1) 100%=106.4
2) x%=6.17
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%=106.4/6.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.17 is what percent of 106.4

100%/x%=106.4/6.17
(100/x)*x=(106.4/6.17)*x       - we multiply both sides of the equation by x
100=17.244732576985*x       - we divide both sides of the equation by (17.244732576985) to get x
100/17.244732576985=x
5.7988721804511=x
x=5.7988721804511

now we have:
6.17 is 5.7988721804511% of 106.4