32.56 is what percent of 46.51 - 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 46.51 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 46.51, so we can write it down as 100%=46.51.
4. We know, that x% equals 32.56 of the output value, so we can write it down as x%=32.56.
5. Now we have two simple equations:
1) 100%=46.51
2) x%=32.56
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%=46.51/32.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.56 is what percent of 46.51

100%/x%=46.51/32.56
(100/x)*x=(46.51/32.56)*x       - we multiply both sides of the equation by x
100=1.4284398034398*x       - we divide both sides of the equation by (1.4284398034398) to get x
100/1.4284398034398=x
70.006450225758=x
x=70.006450225758

now we have:
32.56 is 70.006450225758% of 46.51