465.8 is what percent of 530 - 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 530 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 530, so we can write it down as 100%=530.
4. We know, that x% equals 465.8 of the output value, so we can write it down as x%=465.8.
5. Now we have two simple equations:
1) 100%=530
2) x%=465.8
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%=530/465.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.8 is what percent of 530

100%/x%=530/465.8
(100/x)*x=(530/465.8)*x       - we multiply both sides of the equation by x
100=1.1378273937312*x       - we divide both sides of the equation by (1.1378273937312) to get x
100/1.1378273937312=x
87.88679245283=x
x=87.88679245283

now we have:
465.8 is 87.88679245283% of 530