47.7 is what percent of 45.4 - 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 45.4 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 45.4, so we can write it down as 100%=45.4.
4. We know, that x% equals 47.7 of the output value, so we can write it down as x%=47.7.
5. Now we have two simple equations:
1) 100%=45.4
2) x%=47.7
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%=45.4/47.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.7 is what percent of 45.4

100%/x%=45.4/47.7
(100/x)*x=(45.4/47.7)*x       - we multiply both sides of the equation by x
100=0.9517819706499*x       - we divide both sides of the equation by (0.9517819706499) to get x
100/0.9517819706499=x
105.06607929515=x
x=105.06607929515

now we have:
47.7 is 105.06607929515% of 45.4