875.88 is what percent of 8864.98 - 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 8864.98 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 8864.98, so we can write it down as 100%=8864.98.
4. We know, that x% equals 875.88 of the output value, so we can write it down as x%=875.88.
5. Now we have two simple equations:
1) 100%=8864.98
2) x%=875.88
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%=8864.98/875.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 875.88 is what percent of 8864.98

100%/x%=8864.98/875.88
(100/x)*x=(8864.98/875.88)*x       - we multiply both sides of the equation by x
100=10.121226652053*x       - we divide both sides of the equation by (10.121226652053) to get x
100/10.121226652053=x
9.8802253360978=x
x=9.8802253360978

now we have:
875.88 is 9.8802253360978% of 8864.98