342.66 is what percent of 375 - 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 375 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 375, so we can write it down as 100%=375.
4. We know, that x% equals 342.66 of the output value, so we can write it down as x%=342.66.
5. Now we have two simple equations:
1) 100%=375
2) x%=342.66
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%=375/342.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.66 is what percent of 375

100%/x%=375/342.66
(100/x)*x=(375/342.66)*x       - we multiply both sides of the equation by x
100=1.0943792680791*x       - we divide both sides of the equation by (1.0943792680791) to get x
100/1.0943792680791=x
91.376=x
x=91.376

now we have:
342.66 is 91.376% of 375