51.38 is what percent of 84.632 - 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 84.632 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 84.632, so we can write it down as 100%=84.632.
4. We know, that x% equals 51.38 of the output value, so we can write it down as x%=51.38.
5. Now we have two simple equations:
1) 100%=84.632
2) x%=51.38
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%=84.632/51.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.38 is what percent of 84.632

100%/x%=84.632/51.38
(100/x)*x=(84.632/51.38)*x       - we multiply both sides of the equation by x
100=1.6471778902297*x       - we divide both sides of the equation by (1.6471778902297) to get x
100/1.6471778902297=x
60.709896965687=x
x=60.709896965687

now we have:
51.38 is 60.709896965687% of 84.632