946.1 is what percent of 2670 - 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 2670 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 2670, so we can write it down as 100%=2670.
4. We know, that x% equals 946.1 of the output value, so we can write it down as x%=946.1.
5. Now we have two simple equations:
1) 100%=2670
2) x%=946.1
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%=2670/946.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 946.1 is what percent of 2670

100%/x%=2670/946.1
(100/x)*x=(2670/946.1)*x       - we multiply both sides of the equation by x
100=2.8221118275024*x       - we divide both sides of the equation by (2.8221118275024) to get x
100/2.8221118275024=x
35.434456928839=x
x=35.434456928839

now we have:
946.1 is 35.434456928839% of 2670