464.3 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 464.3 of the output value, so we can write it down as x%=464.3.
5. Now we have two simple equations:
1) 100%=530
2) x%=464.3
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%=530/464.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.3 is what percent of 530

100%/x%=530/464.3
(100/x)*x=(530/464.3)*x       - we multiply both sides of the equation by x
100=1.1415033383588*x       - we divide both sides of the equation by (1.1415033383588) to get x
100/1.1415033383588=x
87.603773584906=x
x=87.603773584906

now we have:
464.3 is 87.603773584906% of 530