381.44 is what percent of 297.43 - 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 297.43 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 297.43, so we can write it down as 100%=297.43.
4. We know, that x% equals 381.44 of the output value, so we can write it down as x%=381.44.
5. Now we have two simple equations:
1) 100%=297.43
2) x%=381.44
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%=297.43/381.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 381.44 is what percent of 297.43

100%/x%=297.43/381.44
(100/x)*x=(297.43/381.44)*x       - we multiply both sides of the equation by x
100=0.77975566275168*x       - we divide both sides of the equation by (0.77975566275168) to get x
100/0.77975566275168=x
128.24530141546=x
x=128.24530141546

now we have:
381.44 is 128.24530141546% of 297.43