843.73 is what percent of 3470.41 - 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 3470.41 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 3470.41, so we can write it down as 100%=3470.41.
4. We know, that x% equals 843.73 of the output value, so we can write it down as x%=843.73.
5. Now we have two simple equations:
1) 100%=3470.41
2) x%=843.73
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%=3470.41/843.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 843.73 is what percent of 3470.41

100%/x%=3470.41/843.73
(100/x)*x=(3470.41/843.73)*x       - we multiply both sides of the equation by x
100=4.1131760160241*x       - we divide both sides of the equation by (4.1131760160241) to get x
100/4.1131760160241=x
24.312112978005=x
x=24.312112978005

now we have:
843.73 is 24.312112978005% of 3470.41