354.6 is what percent of 3388 - 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 3388 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 3388, so we can write it down as 100%=3388.
4. We know, that x% equals 354.6 of the output value, so we can write it down as x%=354.6.
5. Now we have two simple equations:
1) 100%=3388
2) x%=354.6
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%=3388/354.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 354.6 is what percent of 3388

100%/x%=3388/354.6
(100/x)*x=(3388/354.6)*x       - we multiply both sides of the equation by x
100=9.5544275239707*x       - we divide both sides of the equation by (9.5544275239707) to get x
100/9.5544275239707=x
10.466351829988=x
x=10.466351829988

now we have:
354.6 is 10.466351829988% of 3388