93 is what percent of 3370 - 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 3370 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 3370, so we can write it down as 100%=3370.
4. We know, that x% equals 93 of the output value, so we can write it down as x%=93.
5. Now we have two simple equations:
1) 100%=3370
2) x%=93
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%=3370/93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93 is what percent of 3370

100%/x%=3370/93
(100/x)*x=(3370/93)*x       - we multiply both sides of the equation by x
100=36.236559139785*x       - we divide both sides of the equation by (36.236559139785) to get x
100/36.236559139785=x
2.7596439169139=x
x=2.7596439169139

now we have:
93 is 2.7596439169139% of 3370