43.88 is what percent of 857.6 - 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 857.6 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 857.6, so we can write it down as 100%=857.6.
4. We know, that x% equals 43.88 of the output value, so we can write it down as x%=43.88.
5. Now we have two simple equations:
1) 100%=857.6
2) x%=43.88
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%=857.6/43.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.88 is what percent of 857.6

100%/x%=857.6/43.88
(100/x)*x=(857.6/43.88)*x       - we multiply both sides of the equation by x
100=19.544211485871*x       - we divide both sides of the equation by (19.544211485871) to get x
100/19.544211485871=x
5.1166044776119=x
x=5.1166044776119

now we have:
43.88 is 5.1166044776119% of 857.6