5.2 is what percent of 4.77 - 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 4.77 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 4.77, so we can write it down as 100%=4.77.
4. We know, that x% equals 5.2 of the output value, so we can write it down as x%=5.2.
5. Now we have two simple equations:
1) 100%=4.77
2) x%=5.2
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%=4.77/5.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.2 is what percent of 4.77

100%/x%=4.77/5.2
(100/x)*x=(4.77/5.2)*x       - we multiply both sides of the equation by x
100=0.91730769230769*x       - we divide both sides of the equation by (0.91730769230769) to get x
100/0.91730769230769=x
109.01467505241=x
x=109.01467505241

now we have:
5.2 is 109.01467505241% of 4.77