420.47 is what percent of 4875 - 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 4875 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 4875, so we can write it down as 100%=4875.
4. We know, that x% equals 420.47 of the output value, so we can write it down as x%=420.47.
5. Now we have two simple equations:
1) 100%=4875
2) x%=420.47
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%=4875/420.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.47 is what percent of 4875

100%/x%=4875/420.47
(100/x)*x=(4875/420.47)*x       - we multiply both sides of the equation by x
100=11.594168430566*x       - we divide both sides of the equation by (11.594168430566) to get x
100/11.594168430566=x
8.6250256410256=x
x=8.6250256410256

now we have:
420.47 is 8.6250256410256% of 4875