ulrichburke
New member
- Joined
- Jun 10, 2016
- Messages
- 8
Dear Anyone.
So I wanted to find out what percentage Number A was of Number B - because I can never remember how to do that one - and I found a site that said if I typed the numbers into boxes it would explain step-by-step how it reached its answer.
Now I'm NOT gainsaying the answer itself - but it suddenly comes up with a great long fraction from SOMEWHERE and I can't for the life of me see where it got it from!!
Please be gentle with the answer, I know I should see (and remember) how to do this one but I've never understood it.... I'm going to copy and paste their entire solution here and if anyone could tell me where they got this whacking great decimal from.....
1. We assume, that the number 61000 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 61000, so we can write it down as 100%=61000.
4. We know, that x% equals 7100 of the output value, so we can write it down as x%=7100.
5. Now we have two simple equations:
1) 100%=61000
2) x%=7100
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%=61000/7100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 7100 is what percent of 61000
100%/x%=61000/7100
(100/x)*x=(61000/7100)*x - we multiply both sides of the equation by x
100=8.5915492957746*x - we divide both sides of the equation by (8.5915492957746) to get x
100/8.5915492957746=x
11.639344262295=x
x=11.639344262295
now we have:
7100 is 11.639344262295% of 61000
OK, the answer's correct - but where the heck did that 8.5915492957746 come from!?! I've read and re-read that thing and that number just pops out of nowhere as far as I'm concerned. I'm fine up until the first line of the arithmetic of Part 7, from then on it's written in Sanskrit to me!! OK multiplying both sides of a number by another number keeps the relationship the same between the numbers, I get that. (I THINK!) But I thought, logically, percentages were more about division? And how the heck can you multiply both sides of the equation by X BEFORE you know what X IS?? They don't find out what X IS until the NEXT step when they use that number they pluck out of the air from somewhere.
Oh, mummy!
Hope someone understands this out there, cos I sure as heck don't.
Yours hopefully
Chris.
So I wanted to find out what percentage Number A was of Number B - because I can never remember how to do that one - and I found a site that said if I typed the numbers into boxes it would explain step-by-step how it reached its answer.
Now I'm NOT gainsaying the answer itself - but it suddenly comes up with a great long fraction from SOMEWHERE and I can't for the life of me see where it got it from!!
Please be gentle with the answer, I know I should see (and remember) how to do this one but I've never understood it.... I'm going to copy and paste their entire solution here and if anyone could tell me where they got this whacking great decimal from.....
1. We assume, that the number 61000 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 61000, so we can write it down as 100%=61000.
4. We know, that x% equals 7100 of the output value, so we can write it down as x%=7100.
5. Now we have two simple equations:
1) 100%=61000
2) x%=7100
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%=61000/7100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 7100 is what percent of 61000
100%/x%=61000/7100
(100/x)*x=(61000/7100)*x - we multiply both sides of the equation by x
100=8.5915492957746*x - we divide both sides of the equation by (8.5915492957746) to get x
100/8.5915492957746=x
11.639344262295=x
x=11.639344262295
now we have:
7100 is 11.639344262295% of 61000
OK, the answer's correct - but where the heck did that 8.5915492957746 come from!?! I've read and re-read that thing and that number just pops out of nowhere as far as I'm concerned. I'm fine up until the first line of the arithmetic of Part 7, from then on it's written in Sanskrit to me!! OK multiplying both sides of a number by another number keeps the relationship the same between the numbers, I get that. (I THINK!) But I thought, logically, percentages were more about division? And how the heck can you multiply both sides of the equation by X BEFORE you know what X IS?? They don't find out what X IS until the NEXT step when they use that number they pluck out of the air from somewhere.
Oh, mummy!
Hope someone understands this out there, cos I sure as heck don't.
Yours hopefully
Chris.