493.56 is what percent of 514.18 - 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 514.18 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 514.18, so we can write it down as 100%=514.18.
4. We know, that x% equals 493.56 of the output value, so we can write it down as x%=493.56.
5. Now we have two simple equations:
1) 100%=514.18
2) x%=493.56
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%=514.18/493.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.56 is what percent of 514.18

100%/x%=514.18/493.56
(100/x)*x=(514.18/493.56)*x       - we multiply both sides of the equation by x
100=1.0417781019532*x       - we divide both sides of the equation by (1.0417781019532) to get x
100/1.0417781019532=x
95.989731222529=x
x=95.989731222529

now we have:
493.56 is 95.989731222529% of 514.18