0.72 is what percent of 36.12 - 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 36.12 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 36.12, so we can write it down as 100%=36.12.
4. We know, that x% equals 0.72 of the output value, so we can write it down as x%=0.72.
5. Now we have two simple equations:
1) 100%=36.12
2) x%=0.72
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%=36.12/0.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.72 is what percent of 36.12

100%/x%=36.12/0.72
(100/x)*x=(36.12/0.72)*x       - we multiply both sides of the equation by x
100=50.166666666667*x       - we divide both sides of the equation by (50.166666666667) to get x
100/50.166666666667=x
1.9933554817276=x
x=1.9933554817276

now we have:
0.72 is 1.9933554817276% of 36.12