5 is what percent of 2296 - 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 2296 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 2296, so we can write it down as 100%=2296.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=2296
2) x%=5
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%=2296/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 2296

100%/x%=2296/5
(100/x)*x=(2296/5)*x       - we multiply both sides of the equation by x
100=459.2*x       - we divide both sides of the equation by (459.2) to get x
100/459.2=x
0.21777003484321=x
x=0.21777003484321

now we have:
5 is 0.21777003484321% of 2296