438.9 is what percent of 499 - 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 499 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 499, so we can write it down as 100%=499.
4. We know, that x% equals 438.9 of the output value, so we can write it down as x%=438.9.
5. Now we have two simple equations:
1) 100%=499
2) x%=438.9
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%=499/438.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.9 is what percent of 499

100%/x%=499/438.9
(100/x)*x=(499/438.9)*x       - we multiply both sides of the equation by x
100=1.1369332421964*x       - we divide both sides of the equation by (1.1369332421964) to get x
100/1.1369332421964=x
87.955911823647=x
x=87.955911823647

now we have:
438.9 is 87.955911823647% of 499