230.8 is what percent of 847.1 - 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 847.1 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 847.1, so we can write it down as 100%=847.1.
4. We know, that x% equals 230.8 of the output value, so we can write it down as x%=230.8.
5. Now we have two simple equations:
1) 100%=847.1
2) x%=230.8
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%=847.1/230.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.8 is what percent of 847.1

100%/x%=847.1/230.8
(100/x)*x=(847.1/230.8)*x       - we multiply both sides of the equation by x
100=3.6702772963605*x       - we divide both sides of the equation by (3.6702772963605) to get x
100/3.6702772963605=x
27.245897768858=x
x=27.245897768858

now we have:
230.8 is 27.245897768858% of 847.1