32 is what percent of 6.9 - 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 6.9 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 6.9, so we can write it down as 100%=6.9.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=6.9
2) x%=32
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%=6.9/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 6.9

100%/x%=6.9/32
(100/x)*x=(6.9/32)*x       - we multiply both sides of the equation by x
100=0.215625*x       - we divide both sides of the equation by (0.215625) to get x
100/0.215625=x
463.76811594203=x
x=463.76811594203

now we have:
32 is 463.76811594203% of 6.9