11.24 is what percent of 6.4 - 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 6.4 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 6.4, so we can write it down as 100%=6.4.
4. We know, that x% equals 11.24 of the output value, so we can write it down as x%=11.24.
5. Now we have two simple equations:
1) 100%=6.4
2) x%=11.24
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%=6.4/11.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.24 is what percent of 6.4

100%/x%=6.4/11.24
(100/x)*x=(6.4/11.24)*x       - we multiply both sides of the equation by x
100=0.56939501779359*x       - we divide both sides of the equation by (0.56939501779359) to get x
100/0.56939501779359=x
175.625=x
x=175.625

now we have:
11.24 is 175.625% of 6.4