355.3 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 355.3 of the output value, so we can write it down as x%=355.3.
5. Now we have two simple equations:
1) 100%=500
2) x%=355.3
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%=500/355.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.3 is what percent of 500

100%/x%=500/355.3
(100/x)*x=(500/355.3)*x       - we multiply both sides of the equation by x
100=1.407261469181*x       - we divide both sides of the equation by (1.407261469181) to get x
100/1.407261469181=x
71.06=x
x=71.06

now we have:
355.3 is 71.06% of 500