429.92 is what percent of 514.28 - 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 514.28 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 514.28, so we can write it down as 100%=514.28.
4. We know, that x% equals 429.92 of the output value, so we can write it down as x%=429.92.
5. Now we have two simple equations:
1) 100%=514.28
2) x%=429.92
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%=514.28/429.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.92 is what percent of 514.28

100%/x%=514.28/429.92
(100/x)*x=(514.28/429.92)*x       - we multiply both sides of the equation by x
100=1.1962225530331*x       - we divide both sides of the equation by (1.1962225530331) to get x
100/1.1962225530331=x
83.596484405382=x
x=83.596484405382

now we have:
429.92 is 83.596484405382% of 514.28