410.08 is what percent of 1875 - 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 1875 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 1875, so we can write it down as 100%=1875.
4. We know, that x% equals 410.08 of the output value, so we can write it down as x%=410.08.
5. Now we have two simple equations:
1) 100%=1875
2) x%=410.08
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%=1875/410.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 410.08 is what percent of 1875

100%/x%=1875/410.08
(100/x)*x=(1875/410.08)*x       - we multiply both sides of the equation by x
100=4.5722785797893*x       - we divide both sides of the equation by (4.5722785797893) to get x
100/4.5722785797893=x
21.870933333333=x
x=21.870933333333

now we have:
410.08 is 21.870933333333% of 1875