69.56 is what percent of 436.95 - 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 436.95 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 436.95, so we can write it down as 100%=436.95.
4. We know, that x% equals 69.56 of the output value, so we can write it down as x%=69.56.
5. Now we have two simple equations:
1) 100%=436.95
2) x%=69.56
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%=436.95/69.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.56 is what percent of 436.95

100%/x%=436.95/69.56
(100/x)*x=(436.95/69.56)*x       - we multiply both sides of the equation by x
100=6.2816273720529*x       - we divide both sides of the equation by (6.2816273720529) to get x
100/6.2816273720529=x
15.919441583705=x
x=15.919441583705

now we have:
69.56 is 15.919441583705% of 436.95