298.23 is what percent of 313 - 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 313 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 313, so we can write it down as 100%=313.
4. We know, that x% equals 298.23 of the output value, so we can write it down as x%=298.23.
5. Now we have two simple equations:
1) 100%=313
2) x%=298.23
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%=313/298.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.23 is what percent of 313

100%/x%=313/298.23
(100/x)*x=(313/298.23)*x       - we multiply both sides of the equation by x
100=1.0495255339838*x       - we divide both sides of the equation by (1.0495255339838) to get x
100/1.0495255339838=x
95.281150159744=x
x=95.281150159744

now we have:
298.23 is 95.281150159744% of 313