1470.75 is what percent of 25.525 - 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 25.525 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 25.525, so we can write it down as 100%=25.525.
4. We know, that x% equals 1470.75 of the output value, so we can write it down as x%=1470.75.
5. Now we have two simple equations:
1) 100%=25.525
2) x%=1470.75
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%=25.525/1470.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1470.75 is what percent of 25.525

100%/x%=25.525/1470.75
(100/x)*x=(25.525/1470.75)*x       - we multiply both sides of the equation by x
100=0.017355090939997*x       - we divide both sides of the equation by (0.017355090939997) to get x
100/0.017355090939997=x
5761.9980411361=x
x=5761.9980411361

now we have:
1470.75 is 5761.9980411361% of 25.525