875.4 is what percent of 2148.4 - 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 2148.4 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 2148.4, so we can write it down as 100%=2148.4.
4. We know, that x% equals 875.4 of the output value, so we can write it down as x%=875.4.
5. Now we have two simple equations:
1) 100%=2148.4
2) x%=875.4
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%=2148.4/875.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 875.4 is what percent of 2148.4

100%/x%=2148.4/875.4
(100/x)*x=(2148.4/875.4)*x       - we multiply both sides of the equation by x
100=2.4541923692027*x       - we divide both sides of the equation by (2.4541923692027) to get x
100/2.4541923692027=x
40.74660212251=x
x=40.74660212251

now we have:
875.4 is 40.74660212251% of 2148.4