5.64 is what percent of 4.7 - 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 4.7 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 4.7, so we can write it down as 100%=4.7.
4. We know, that x% equals 5.64 of the output value, so we can write it down as x%=5.64.
5. Now we have two simple equations:
1) 100%=4.7
2) x%=5.64
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%=4.7/5.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.64 is what percent of 4.7

100%/x%=4.7/5.64
(100/x)*x=(4.7/5.64)*x       - we multiply both sides of the equation by x
100=0.83333333333333*x       - we divide both sides of the equation by (0.83333333333333) to get x
100/0.83333333333333=x
120=x
x=120

now we have:
5.64 is 120% of 4.7