73.87 is what percent of 511.42 - 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 511.42 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 511.42, so we can write it down as 100%=511.42.
4. We know, that x% equals 73.87 of the output value, so we can write it down as x%=73.87.
5. Now we have two simple equations:
1) 100%=511.42
2) x%=73.87
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%=511.42/73.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.87 is what percent of 511.42

100%/x%=511.42/73.87
(100/x)*x=(511.42/73.87)*x       - we multiply both sides of the equation by x
100=6.9232435359415*x       - we divide both sides of the equation by (6.9232435359415) to get x
100/6.9232435359415=x
14.444096828438=x
x=14.444096828438

now we have:
73.87 is 14.444096828438% of 511.42