333.5 is what percent of 1409.5 - 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 1409.5 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 1409.5, so we can write it down as 100%=1409.5.
4. We know, that x% equals 333.5 of the output value, so we can write it down as x%=333.5.
5. Now we have two simple equations:
1) 100%=1409.5
2) x%=333.5
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%=1409.5/333.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 333.5 is what percent of 1409.5

100%/x%=1409.5/333.5
(100/x)*x=(1409.5/333.5)*x       - we multiply both sides of the equation by x
100=4.2263868065967*x       - we divide both sides of the equation by (4.2263868065967) to get x
100/4.2263868065967=x
23.660872649876=x
x=23.660872649876

now we have:
333.5 is 23.660872649876% of 1409.5