2.78 is what percent of 4.45 - 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 4.45 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 4.45, so we can write it down as 100%=4.45.
4. We know, that x% equals 2.78 of the output value, so we can write it down as x%=2.78.
5. Now we have two simple equations:
1) 100%=4.45
2) x%=2.78
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%=4.45/2.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.78 is what percent of 4.45

100%/x%=4.45/2.78
(100/x)*x=(4.45/2.78)*x       - we multiply both sides of the equation by x
100=1.6007194244604*x       - we divide both sides of the equation by (1.6007194244604) to get x
100/1.6007194244604=x
62.47191011236=x
x=62.47191011236

now we have:
2.78 is 62.47191011236% of 4.45