488.93 is what percent of 1343.07 - 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 1343.07 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 1343.07, so we can write it down as 100%=1343.07.
4. We know, that x% equals 488.93 of the output value, so we can write it down as x%=488.93.
5. Now we have two simple equations:
1) 100%=1343.07
2) x%=488.93
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%=1343.07/488.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.93 is what percent of 1343.07

100%/x%=1343.07/488.93
(100/x)*x=(1343.07/488.93)*x       - we multiply both sides of the equation by x
100=2.7469576421983*x       - we divide both sides of the equation by (2.7469576421983) to get x
100/2.7469576421983=x
36.403910443983=x
x=36.403910443983

now we have:
488.93 is 36.403910443983% of 1343.07