875.76 is what percent of 1142.85 - 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 1142.85 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 1142.85, so we can write it down as 100%=1142.85.
4. We know, that x% equals 875.76 of the output value, so we can write it down as x%=875.76.
5. Now we have two simple equations:
1) 100%=1142.85
2) x%=875.76
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%=1142.85/875.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 875.76 is what percent of 1142.85

100%/x%=1142.85/875.76
(100/x)*x=(1142.85/875.76)*x       - we multiply both sides of the equation by x
100=1.3049808166621*x       - we divide both sides of the equation by (1.3049808166621) to get x
100/1.3049808166621=x
76.629478934243=x
x=76.629478934243

now we have:
875.76 is 76.629478934243% of 1142.85