0.9 is what percent of 47.3 - 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 47.3 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 47.3, so we can write it down as 100%=47.3.
4. We know, that x% equals 0.9 of the output value, so we can write it down as x%=0.9.
5. Now we have two simple equations:
1) 100%=47.3
2) x%=0.9
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%=47.3/0.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.9 is what percent of 47.3

100%/x%=47.3/0.9
(100/x)*x=(47.3/0.9)*x       - we multiply both sides of the equation by x
100=52.555555555556*x       - we divide both sides of the equation by (52.555555555556) to get x
100/52.555555555556=x
1.9027484143763=x
x=1.9027484143763

now we have:
0.9 is 1.9027484143763% of 47.3