2.3 is what percent of 33 - 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 33 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 33, so we can write it down as 100%=33.
4. We know, that x% equals 2.3 of the output value, so we can write it down as x%=2.3.
5. Now we have two simple equations:
1) 100%=33
2) x%=2.3
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%=33/2.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.3 is what percent of 33

100%/x%=33/2.3
(100/x)*x=(33/2.3)*x       - we multiply both sides of the equation by x
100=14.347826086957*x       - we divide both sides of the equation by (14.347826086957) to get x
100/14.347826086957=x
6.969696969697=x
x=6.969696969697

now we have:
2.3 is 6.969696969697% of 33