9.71 is what percent of 2199.99 - 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 2199.99 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 2199.99, so we can write it down as 100%=2199.99.
4. We know, that x% equals 9.71 of the output value, so we can write it down as x%=9.71.
5. Now we have two simple equations:
1) 100%=2199.99
2) x%=9.71
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%=2199.99/9.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.71 is what percent of 2199.99

100%/x%=2199.99/9.71
(100/x)*x=(2199.99/9.71)*x       - we multiply both sides of the equation by x
100=226.56951596292*x       - we divide both sides of the equation by (226.56951596292) to get x
100/226.56951596292=x
0.4413656425711=x
x=0.4413656425711

now we have:
9.71 is 0.4413656425711% of 2199.99