355.29 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 355.29 of the output value, so we can write it down as x%=355.29.
5. Now we have two simple equations:
1) 100%=500
2) x%=355.29
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%=500/355.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.29 is what percent of 500

100%/x%=500/355.29
(100/x)*x=(500/355.29)*x       - we multiply both sides of the equation by x
100=1.4073010779926*x       - we divide both sides of the equation by (1.4073010779926) to get x
100/1.4073010779926=x
71.058=x
x=71.058

now we have:
355.29 is 71.058% of 500