0.36 is what percent of 0.46 - 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 0.46 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 0.46, so we can write it down as 100%=0.46.
4. We know, that x% equals 0.36 of the output value, so we can write it down as x%=0.36.
5. Now we have two simple equations:
1) 100%=0.46
2) x%=0.36
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%=0.46/0.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.36 is what percent of 0.46

100%/x%=0.46/0.36
(100/x)*x=(0.46/0.36)*x       - we multiply both sides of the equation by x
100=1.2777777777778*x       - we divide both sides of the equation by (1.2777777777778) to get x
100/1.2777777777778=x
78.260869565217=x
x=78.260869565217

now we have:
0.36 is 78.260869565217% of 0.46