524.66 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 524.66 of the output value, so we can write it down as x%=524.66.
5. Now we have two simple equations:
1) 100%=800
2) x%=524.66
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%=800/524.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 524.66 is what percent of 800

100%/x%=800/524.66
(100/x)*x=(800/524.66)*x       - we multiply both sides of the equation by x
100=1.5247970113979*x       - we divide both sides of the equation by (1.5247970113979) to get x
100/1.5247970113979=x
65.5825=x
x=65.5825

now we have:
524.66 is 65.5825% of 800