74.05 is what percent of 33.95 - 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 33.95 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 33.95, so we can write it down as 100%=33.95.
4. We know, that x% equals 74.05 of the output value, so we can write it down as x%=74.05.
5. Now we have two simple equations:
1) 100%=33.95
2) x%=74.05
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%=33.95/74.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.05 is what percent of 33.95

100%/x%=33.95/74.05
(100/x)*x=(33.95/74.05)*x       - we multiply both sides of the equation by x
100=0.45847400405132*x       - we divide both sides of the equation by (0.45847400405132) to get x
100/0.45847400405132=x
218.11487481591=x
x=218.11487481591

now we have:
74.05 is 218.11487481591% of 33.95