43000 is what percent of 43696.8 - 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 43696.8 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 43696.8, so we can write it down as 100%=43696.8.
4. We know, that x% equals 43000 of the output value, so we can write it down as x%=43000.
5. Now we have two simple equations:
1) 100%=43696.8
2) x%=43000
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%=43696.8/43000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43000 is what percent of 43696.8

100%/x%=43696.8/43000
(100/x)*x=(43696.8/43000)*x       - we multiply both sides of the equation by x
100=1.0162046511628*x       - we divide both sides of the equation by (1.0162046511628) to get x
100/1.0162046511628=x
98.405375221984=x
x=98.405375221984

now we have:
43000 is 98.405375221984% of 43696.8