147.96 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 147.96 of the output value, so we can write it down as x%=147.96.
5. Now we have two simple equations:
1) 100%=33
2) x%=147.96
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%=33/147.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.96 is what percent of 33

100%/x%=33/147.96
(100/x)*x=(33/147.96)*x       - we multiply both sides of the equation by x
100=0.22303325223033*x       - we divide both sides of the equation by (0.22303325223033) to get x
100/0.22303325223033=x
448.36363636364=x
x=448.36363636364

now we have:
147.96 is 448.36363636364% of 33