321.54 is what percent of 345.3 - 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 345.3 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 345.3, so we can write it down as 100%=345.3.
4. We know, that x% equals 321.54 of the output value, so we can write it down as x%=321.54.
5. Now we have two simple equations:
1) 100%=345.3
2) x%=321.54
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%=345.3/321.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 321.54 is what percent of 345.3

100%/x%=345.3/321.54
(100/x)*x=(345.3/321.54)*x       - we multiply both sides of the equation by x
100=1.0738943832805*x       - we divide both sides of the equation by (1.0738943832805) to get x
100/1.0738943832805=x
93.119026933102=x
x=93.119026933102

now we have:
321.54 is 93.119026933102% of 345.3