966.44 is what percent of 2298.59 - 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 2298.59 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 2298.59, so we can write it down as 100%=2298.59.
4. We know, that x% equals 966.44 of the output value, so we can write it down as x%=966.44.
5. Now we have two simple equations:
1) 100%=2298.59
2) x%=966.44
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%=2298.59/966.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 966.44 is what percent of 2298.59

100%/x%=2298.59/966.44
(100/x)*x=(2298.59/966.44)*x       - we multiply both sides of the equation by x
100=2.3784094201399*x       - we divide both sides of the equation by (2.3784094201399) to get x
100/2.3784094201399=x
42.044905790071=x
x=42.044905790071

now we have:
966.44 is 42.044905790071% of 2298.59