324.3 is what percent of 520 - 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 520 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 520, so we can write it down as 100%=520.
4. We know, that x% equals 324.3 of the output value, so we can write it down as x%=324.3.
5. Now we have two simple equations:
1) 100%=520
2) x%=324.3
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%=520/324.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 324.3 is what percent of 520

100%/x%=520/324.3
(100/x)*x=(520/324.3)*x       - we multiply both sides of the equation by x
100=1.6034535923528*x       - we divide both sides of the equation by (1.6034535923528) to get x
100/1.6034535923528=x
62.365384615385=x
x=62.365384615385

now we have:
324.3 is 62.365384615385% of 520