77.03 is what percent of 1540.52 - 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 1540.52 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 1540.52, so we can write it down as 100%=1540.52.
4. We know, that x% equals 77.03 of the output value, so we can write it down as x%=77.03.
5. Now we have two simple equations:
1) 100%=1540.52
2) x%=77.03
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%=1540.52/77.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.03 is what percent of 1540.52

100%/x%=1540.52/77.03
(100/x)*x=(1540.52/77.03)*x       - we multiply both sides of the equation by x
100=19.998961443593*x       - we divide both sides of the equation by (19.998961443593) to get x
100/19.998961443593=x
5.0002596525848=x
x=5.0002596525848

now we have:
77.03 is 5.0002596525848% of 1540.52