381.43 is what percent of 1313.82 - 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 1313.82 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 1313.82, so we can write it down as 100%=1313.82.
4. We know, that x% equals 381.43 of the output value, so we can write it down as x%=381.43.
5. Now we have two simple equations:
1) 100%=1313.82
2) x%=381.43
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%=1313.82/381.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.43 is what percent of 1313.82

100%/x%=1313.82/381.43
(100/x)*x=(1313.82/381.43)*x       - we multiply both sides of the equation by x
100=3.4444590095168*x       - we divide both sides of the equation by (3.4444590095168) to get x
100/3.4444590095168=x
29.032135300117=x
x=29.032135300117

now we have:
381.43 is 29.032135300117% of 1313.82