251.8 is what percent of 1333.7 - 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 1333.7 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 1333.7, so we can write it down as 100%=1333.7.
4. We know, that x% equals 251.8 of the output value, so we can write it down as x%=251.8.
5. Now we have two simple equations:
1) 100%=1333.7
2) x%=251.8
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%=1333.7/251.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.8 is what percent of 1333.7

100%/x%=1333.7/251.8
(100/x)*x=(1333.7/251.8)*x       - we multiply both sides of the equation by x
100=5.2966640190627*x       - we divide both sides of the equation by (5.2966640190627) to get x
100/5.2966640190627=x
18.879808052785=x
x=18.879808052785

now we have:
251.8 is 18.879808052785% of 1333.7