514.35 is what percent of 524.35 - 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 524.35 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 524.35, so we can write it down as 100%=524.35.
4. We know, that x% equals 514.35 of the output value, so we can write it down as x%=514.35.
5. Now we have two simple equations:
1) 100%=524.35
2) x%=514.35
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%=524.35/514.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 514.35 is what percent of 524.35

100%/x%=524.35/514.35
(100/x)*x=(524.35/514.35)*x       - we multiply both sides of the equation by x
100=1.0194420141927*x       - we divide both sides of the equation by (1.0194420141927) to get x
100/1.0194420141927=x
98.092876895204=x
x=98.092876895204

now we have:
514.35 is 98.092876895204% of 524.35