36.29 is what percent of 5.388 - 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 5.388 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 5.388, so we can write it down as 100%=5.388.
4. We know, that x% equals 36.29 of the output value, so we can write it down as x%=36.29.
5. Now we have two simple equations:
1) 100%=5.388
2) x%=36.29
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%=5.388/36.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.29 is what percent of 5.388

100%/x%=5.388/36.29
(100/x)*x=(5.388/36.29)*x       - we multiply both sides of the equation by x
100=0.14847065307247*x       - we divide both sides of the equation by (0.14847065307247) to get x
100/0.14847065307247=x
673.53377876763=x
x=673.53377876763

now we have:
36.29 is 673.53377876763% of 5.388