5.7 is what percent of 32.19 - 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 32.19 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 32.19, so we can write it down as 100%=32.19.
4. We know, that x% equals 5.7 of the output value, so we can write it down as x%=5.7.
5. Now we have two simple equations:
1) 100%=32.19
2) x%=5.7
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%=32.19/5.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.7 is what percent of 32.19

100%/x%=32.19/5.7
(100/x)*x=(32.19/5.7)*x       - we multiply both sides of the equation by x
100=5.6473684210526*x       - we divide both sides of the equation by (5.6473684210526) to get x
100/5.6473684210526=x
17.707362534949=x
x=17.707362534949

now we have:
5.7 is 17.707362534949% of 32.19