27 is what percent of 32.46 - 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 32.46 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 32.46, so we can write it down as 100%=32.46.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=32.46
2) x%=27
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%=32.46/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 32.46

100%/x%=32.46/27
(100/x)*x=(32.46/27)*x       - we multiply both sides of the equation by x
100=1.2022222222222*x       - we divide both sides of the equation by (1.2022222222222) to get x
100/1.2022222222222=x
83.179297597043=x
x=83.179297597043

now we have:
27 is 83.179297597043% of 32.46