20.9 is what percent of 203 - 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 203 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 203, so we can write it down as 100%=203.
4. We know, that x% equals 20.9 of the output value, so we can write it down as x%=20.9.
5. Now we have two simple equations:
1) 100%=203
2) x%=20.9
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%=203/20.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.9 is what percent of 203

100%/x%=203/20.9
(100/x)*x=(203/20.9)*x       - we multiply both sides of the equation by x
100=9.7129186602871*x       - we divide both sides of the equation by (9.7129186602871) to get x
100/9.7129186602871=x
10.295566502463=x
x=10.295566502463

now we have:
20.9 is 10.295566502463% of 203