253.33 is what percent of 1346.8 - 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 1346.8 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 1346.8, so we can write it down as 100%=1346.8.
4. We know, that x% equals 253.33 of the output value, so we can write it down as x%=253.33.
5. Now we have two simple equations:
1) 100%=1346.8
2) x%=253.33
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%=1346.8/253.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.33 is what percent of 1346.8

100%/x%=1346.8/253.33
(100/x)*x=(1346.8/253.33)*x       - we multiply both sides of the equation by x
100=5.3163857419177*x       - we divide both sides of the equation by (5.3163857419177) to get x
100/5.3163857419177=x
18.809771309771=x
x=18.809771309771

now we have:
253.33 is 18.809771309771% of 1346.8