531.46 is what percent of 796.79 - 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 796.79 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 796.79, so we can write it down as 100%=796.79.
4. We know, that x% equals 531.46 of the output value, so we can write it down as x%=531.46.
5. Now we have two simple equations:
1) 100%=796.79
2) x%=531.46
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%=796.79/531.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 531.46 is what percent of 796.79

100%/x%=796.79/531.46
(100/x)*x=(796.79/531.46)*x       - we multiply both sides of the equation by x
100=1.4992473563391*x       - we divide both sides of the equation by (1.4992473563391) to get x
100/1.4992473563391=x
66.700134288834=x
x=66.700134288834

now we have:
531.46 is 66.700134288834% of 796.79