6.37 is what percent of 53.63 - 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 53.63 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 53.63, so we can write it down as 100%=53.63.
4. We know, that x% equals 6.37 of the output value, so we can write it down as x%=6.37.
5. Now we have two simple equations:
1) 100%=53.63
2) x%=6.37
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%=53.63/6.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.37 is what percent of 53.63

100%/x%=53.63/6.37
(100/x)*x=(53.63/6.37)*x       - we multiply both sides of the equation by x
100=8.4191522762951*x       - we divide both sides of the equation by (8.4191522762951) to get x
100/8.4191522762951=x
11.87768040276=x
x=11.87768040276

now we have:
6.37 is 11.87768040276% of 53.63