348.01 is what percent of 351.05 - 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 351.05 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 351.05, so we can write it down as 100%=351.05.
4. We know, that x% equals 348.01 of the output value, so we can write it down as x%=348.01.
5. Now we have two simple equations:
1) 100%=351.05
2) x%=348.01
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%=351.05/348.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 348.01 is what percent of 351.05

100%/x%=351.05/348.01
(100/x)*x=(351.05/348.01)*x       - we multiply both sides of the equation by x
100=1.0087353811672*x       - we divide both sides of the equation by (1.0087353811672) to get x
100/1.0087353811672=x
99.134026491953=x
x=99.134026491953

now we have:
348.01 is 99.134026491953% of 351.05