343.39 is what percent of 376.13 - 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 376.13 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 376.13, so we can write it down as 100%=376.13.
4. We know, that x% equals 343.39 of the output value, so we can write it down as x%=343.39.
5. Now we have two simple equations:
1) 100%=376.13
2) x%=343.39
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%=376.13/343.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.39 is what percent of 376.13

100%/x%=376.13/343.39
(100/x)*x=(376.13/343.39)*x       - we multiply both sides of the equation by x
100=1.0953434869973*x       - we divide both sides of the equation by (1.0953434869973) to get x
100/1.0953434869973=x
91.295562704384=x
x=91.295562704384

now we have:
343.39 is 91.295562704384% of 376.13