47.69 is what percent of 3457.61 - 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 3457.61 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 3457.61, so we can write it down as 100%=3457.61.
4. We know, that x% equals 47.69 of the output value, so we can write it down as x%=47.69.
5. Now we have two simple equations:
1) 100%=3457.61
2) x%=47.69
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%=3457.61/47.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.69 is what percent of 3457.61

100%/x%=3457.61/47.69
(100/x)*x=(3457.61/47.69)*x       - we multiply both sides of the equation by x
100=72.501782344307*x       - we divide both sides of the equation by (72.501782344307) to get x
100/72.501782344307=x
1.3792764366137=x
x=1.3792764366137

now we have:
47.69 is 1.3792764366137% of 3457.61