535.84 is what percent of 7627.88 - 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 7627.88 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 7627.88, so we can write it down as 100%=7627.88.
4. We know, that x% equals 535.84 of the output value, so we can write it down as x%=535.84.
5. Now we have two simple equations:
1) 100%=7627.88
2) x%=535.84
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%=7627.88/535.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 535.84 is what percent of 7627.88

100%/x%=7627.88/535.84
(100/x)*x=(7627.88/535.84)*x       - we multiply both sides of the equation by x
100=14.235368766796*x       - we divide both sides of the equation by (14.235368766796) to get x
100/14.235368766796=x
7.0247565509683=x
x=7.0247565509683

now we have:
535.84 is 7.0247565509683% of 7627.88