403.07 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 403.07 of the output value, so we can write it down as x%=403.07.
5. Now we have two simple equations:
1) 100%=500
2) x%=403.07
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%=500/403.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 403.07 is what percent of 500

100%/x%=500/403.07
(100/x)*x=(500/403.07)*x       - we multiply both sides of the equation by x
100=1.2404793212097*x       - we divide both sides of the equation by (1.2404793212097) to get x
100/1.2404793212097=x
80.614=x
x=80.614

now we have:
403.07 is 80.614% of 500