5843.5 is what percent of 7735.75 - 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 7735.75 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 7735.75, so we can write it down as 100%=7735.75.
4. We know, that x% equals 5843.5 of the output value, so we can write it down as x%=5843.5.
5. Now we have two simple equations:
1) 100%=7735.75
2) x%=5843.5
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%=7735.75/5843.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5843.5 is what percent of 7735.75

100%/x%=7735.75/5843.5
(100/x)*x=(7735.75/5843.5)*x       - we multiply both sides of the equation by x
100=1.3238213399504*x       - we divide both sides of the equation by (1.3238213399504) to get x
100/1.3238213399504=x
75.538894095595=x
x=75.538894095595

now we have:
5843.5 is 75.538894095595% of 7735.75