384.35 is what percent of 6.948 - 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 6.948 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 6.948, so we can write it down as 100%=6.948.
4. We know, that x% equals 384.35 of the output value, so we can write it down as x%=384.35.
5. Now we have two simple equations:
1) 100%=6.948
2) x%=384.35
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%=6.948/384.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.35 is what percent of 6.948

100%/x%=6.948/384.35
(100/x)*x=(6.948/384.35)*x       - we multiply both sides of the equation by x
100=0.01807727331859*x       - we divide both sides of the equation by (0.01807727331859) to get x
100/0.01807727331859=x
5531.8077144502=x
x=5531.8077144502

now we have:
384.35 is 5531.8077144502% of 6.948