Answer:
3.2% or
of 3.2
Explanation:
Solution for 100 is what percent of 3.2:
100:3.2*100 =
(100*100):3.2 =
10000:3.2 = 3125
Now we have: 100 is what percent of 3.2 = 3125
Step 1: We assume that 3.2 is 100% since it is our output value.
Step 2: We next represent the value we seek with
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
Step 3: From step 1, it follows that
![$100\%=3.2$](https://img.qammunity.org/2021/formulas/mathematics/high-school/ig82r9h25e70t00ubooa2sb280c8olta6t.png)
Step 4: In the same vein,
.
Step 5: This gives us a pair of simple equations:
![100\%=3.2(1).](https://img.qammunity.org/2021/formulas/mathematics/high-school/m83farorwgsxl2a98lrwcqv6aj29pz4xgl.png)
![x\%=100(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/518zhg98zr702e6acflodmy4dp1kxq4rwb.png)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
![(100\%)/(x\%)=(3.2)/(100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/32tni9fa0bl8sr4fqvsrib0qw7655x5xuv.png)
Step 7: Taking the inverse (or reciprocal) of both sides yields
![(x\%)/(100\%)=(100)/(3.2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y7tax5ejzu3c8ch6538rndiw7pexvhfp7m.png)
![\Rightarrow x=3125\%](https://img.qammunity.org/2021/formulas/mathematics/high-school/2c10uakubv4hmrds4978mryc77fmx9mdyh.png)
Therefore, 100 is
of 3.2.