469.67 is what percent of 516 - 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 516 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 516, so we can write it down as 100%=516.
4. We know, that x% equals 469.67 of the output value, so we can write it down as x%=469.67.
5. Now we have two simple equations:
1) 100%=516
2) x%=469.67
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%=516/469.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.67 is what percent of 516

100%/x%=516/469.67
(100/x)*x=(516/469.67)*x       - we multiply both sides of the equation by x
100=1.0986437285754*x       - we divide both sides of the equation by (1.0986437285754) to get x
100/1.0986437285754=x
91.021317829457=x
x=91.021317829457

now we have:
469.67 is 91.021317829457% of 516