7 is what percent of 33.74 - 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 33.74 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 33.74, so we can write it down as 100%=33.74.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=33.74
2) x%=7
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%=33.74/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 33.74

100%/x%=33.74/7
(100/x)*x=(33.74/7)*x       - we multiply both sides of the equation by x
100=4.82*x       - we divide both sides of the equation by (4.82) to get x
100/4.82=x
20.746887966805=x
x=20.746887966805

now we have:
7 is 20.746887966805% of 33.74