429.14 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 429.14 of the output value, so we can write it down as x%=429.14.
5. Now we have two simple equations:
1) 100%=500
2) x%=429.14
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%=500/429.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.14 is what percent of 500

100%/x%=500/429.14
(100/x)*x=(500/429.14)*x       - we multiply both sides of the equation by x
100=1.1651209395535*x       - we divide both sides of the equation by (1.1651209395535) to get x
100/1.1651209395535=x
85.828=x
x=85.828

now we have:
429.14 is 85.828% of 500