93.3 is what percent of 35 - 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 35 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 35, so we can write it down as 100%=35.
4. We know, that x% equals 93.3 of the output value, so we can write it down as x%=93.3.
5. Now we have two simple equations:
1) 100%=35
2) x%=93.3
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%=35/93.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.3 is what percent of 35

100%/x%=35/93.3
(100/x)*x=(35/93.3)*x       - we multiply both sides of the equation by x
100=0.37513397642015*x       - we divide both sides of the equation by (0.37513397642015) to get x
100/0.37513397642015=x
266.57142857143=x
x=266.57142857143

now we have:
93.3 is 266.57142857143% of 35