0.46 is what percent of 20500 - 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 20500 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 20500, so we can write it down as 100%=20500.
4. We know, that x% equals 0.46 of the output value, so we can write it down as x%=0.46.
5. Now we have two simple equations:
1) 100%=20500
2) x%=0.46
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%=20500/0.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.46 is what percent of 20500

100%/x%=20500/0.46
(100/x)*x=(20500/0.46)*x       - we multiply both sides of the equation by x
100=44565.217391304*x       - we divide both sides of the equation by (44565.217391304) to get x
100/44565.217391304=x
0.0022439024390244=x
x=0.0022439024390244

now we have:
0.46 is 0.0022439024390244% of 20500