30.46 is what percent of 37.37 - 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 37.37 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 37.37, so we can write it down as 100%=37.37.
4. We know, that x% equals 30.46 of the output value, so we can write it down as x%=30.46.
5. Now we have two simple equations:
1) 100%=37.37
2) x%=30.46
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%=37.37/30.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.46 is what percent of 37.37

100%/x%=37.37/30.46
(100/x)*x=(37.37/30.46)*x       - we multiply both sides of the equation by x
100=1.2268548916612*x       - we divide both sides of the equation by (1.2268548916612) to get x
100/1.2268548916612=x
81.509232004282=x
x=81.509232004282

now we have:
30.46 is 81.509232004282% of 37.37