34.06 is what percent of 36.75 - 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 36.75 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 36.75, so we can write it down as 100%=36.75.
4. We know, that x% equals 34.06 of the output value, so we can write it down as x%=34.06.
5. Now we have two simple equations:
1) 100%=36.75
2) x%=34.06
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%=36.75/34.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.06 is what percent of 36.75

100%/x%=36.75/34.06
(100/x)*x=(36.75/34.06)*x       - we multiply both sides of the equation by x
100=1.0789782736348*x       - we divide both sides of the equation by (1.0789782736348) to get x
100/1.0789782736348=x
92.680272108844=x
x=92.680272108844

now we have:
34.06 is 92.680272108844% of 36.75