4027.5 is what percent of 5420 - 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 5420 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 5420, so we can write it down as 100%=5420.
4. We know, that x% equals 4027.5 of the output value, so we can write it down as x%=4027.5.
5. Now we have two simple equations:
1) 100%=5420
2) x%=4027.5
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%=5420/4027.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4027.5 is what percent of 5420

100%/x%=5420/4027.5
(100/x)*x=(5420/4027.5)*x       - we multiply both sides of the equation by x
100=1.3457479826195*x       - we divide both sides of the equation by (1.3457479826195) to get x
100/1.3457479826195=x
74.308118081181=x
x=74.308118081181

now we have:
4027.5 is 74.308118081181% of 5420