334.7 is what percent of 382.8 - 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 382.8 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 382.8, so we can write it down as 100%=382.8.
4. We know, that x% equals 334.7 of the output value, so we can write it down as x%=334.7.
5. Now we have two simple equations:
1) 100%=382.8
2) x%=334.7
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%=382.8/334.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 334.7 is what percent of 382.8

100%/x%=382.8/334.7
(100/x)*x=(382.8/334.7)*x       - we multiply both sides of the equation by x
100=1.1437107857783*x       - we divide both sides of the equation by (1.1437107857783) to get x
100/1.1437107857783=x
87.434691745037=x
x=87.434691745037

now we have:
334.7 is 87.434691745037% of 382.8