32.43 is what percent of 1023.8 - 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 1023.8 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 1023.8, so we can write it down as 100%=1023.8.
4. We know, that x% equals 32.43 of the output value, so we can write it down as x%=32.43.
5. Now we have two simple equations:
1) 100%=1023.8
2) x%=32.43
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%=1023.8/32.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.43 is what percent of 1023.8

100%/x%=1023.8/32.43
(100/x)*x=(1023.8/32.43)*x       - we multiply both sides of the equation by x
100=31.569534381745*x       - we divide both sides of the equation by (31.569534381745) to get x
100/31.569534381745=x
3.1676108614964=x
x=3.1676108614964

now we have:
32.43 is 3.1676108614964% of 1023.8