500.33 is what percent of 793.43 - 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 793.43 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 793.43, so we can write it down as 100%=793.43.
4. We know, that x% equals 500.33 of the output value, so we can write it down as x%=500.33.
5. Now we have two simple equations:
1) 100%=793.43
2) x%=500.33
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%=793.43/500.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500.33 is what percent of 793.43

100%/x%=793.43/500.33
(100/x)*x=(793.43/500.33)*x       - we multiply both sides of the equation by x
100=1.5858133631803*x       - we divide both sides of the equation by (1.5858133631803) to get x
100/1.5858133631803=x
63.059123048032=x
x=63.059123048032

now we have:
500.33 is 63.059123048032% of 793.43