5.17 is what percent of 36.77 - 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 36.77 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 36.77, so we can write it down as 100%=36.77.
4. We know, that x% equals 5.17 of the output value, so we can write it down as x%=5.17.
5. Now we have two simple equations:
1) 100%=36.77
2) x%=5.17
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%=36.77/5.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.17 is what percent of 36.77

100%/x%=36.77/5.17
(100/x)*x=(36.77/5.17)*x       - we multiply both sides of the equation by x
100=7.1121856866538*x       - we divide both sides of the equation by (7.1121856866538) to get x
100/7.1121856866538=x
14.060375305956=x
x=14.060375305956

now we have:
5.17 is 14.060375305956% of 36.77