345.75 is what percent of 414.25 - 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 414.25 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 414.25, so we can write it down as 100%=414.25.
4. We know, that x% equals 345.75 of the output value, so we can write it down as x%=345.75.
5. Now we have two simple equations:
1) 100%=414.25
2) x%=345.75
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%=414.25/345.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.75 is what percent of 414.25

100%/x%=414.25/345.75
(100/x)*x=(414.25/345.75)*x       - we multiply both sides of the equation by x
100=1.1981200289226*x       - we divide both sides of the equation by (1.1981200289226) to get x
100/1.1981200289226=x
83.464091732046=x
x=83.464091732046

now we have:
345.75 is 83.464091732046% of 414.25