46.75 is what percent of 2535.07 - 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 2535.07 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 2535.07, so we can write it down as 100%=2535.07.
4. We know, that x% equals 46.75 of the output value, so we can write it down as x%=46.75.
5. Now we have two simple equations:
1) 100%=2535.07
2) x%=46.75
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%=2535.07/46.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.75 is what percent of 2535.07

100%/x%=2535.07/46.75
(100/x)*x=(2535.07/46.75)*x       - we multiply both sides of the equation by x
100=54.226096256684*x       - we divide both sides of the equation by (54.226096256684) to get x
100/54.226096256684=x
1.8441305368294=x
x=1.8441305368294

now we have:
46.75 is 1.8441305368294% of 2535.07