298.76 is what percent of 341.1 - 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 341.1 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 341.1, so we can write it down as 100%=341.1.
4. We know, that x% equals 298.76 of the output value, so we can write it down as x%=298.76.
5. Now we have two simple equations:
1) 100%=341.1
2) x%=298.76
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%=341.1/298.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.76 is what percent of 341.1

100%/x%=341.1/298.76
(100/x)*x=(341.1/298.76)*x       - we multiply both sides of the equation by x
100=1.1417191056366*x       - we divide both sides of the equation by (1.1417191056366) to get x
100/1.1417191056366=x
87.587217824685=x
x=87.587217824685

now we have:
298.76 is 87.587217824685% of 341.1