8.61 is what percent of 43 - 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 43 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 43, so we can write it down as 100%=43.
4. We know, that x% equals 8.61 of the output value, so we can write it down as x%=8.61.
5. Now we have two simple equations:
1) 100%=43
2) x%=8.61
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%=43/8.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.61 is what percent of 43

100%/x%=43/8.61
(100/x)*x=(43/8.61)*x       - we multiply both sides of the equation by x
100=4.9941927990708*x       - we divide both sides of the equation by (4.9941927990708) to get x
100/4.9941927990708=x
20.023255813953=x
x=20.023255813953

now we have:
8.61 is 20.023255813953% of 43