good day welcome to Tech math Channel I'm Josh today I'm going to show you the easiest way of working out percentages in your head so we'll start with an example we have 61% of 80 tell you what you should be able to work this out in about 3 seconds so give it a go you done that yet well the answer 61% of 80 is equal to 48.8 and if you got that answer congratulations if not don't worry I'm going to show you the easy trick for working these out in your head so this is the way I work these out so 61% if we think about what this uh thing here percentage means that little symbol right there which is the percentage symbol percent quite literally means per well per means divided by and then we have Cent which means 100 cent is in 100 years or 100 cents in a dollar so percent quite literally means dividing by 100 and what we'd usually do if we're working at percentage the old fashioned way we'd go go 61 / by 100 multip by 80 and we'd get our answer but here's the trick you can divide by 100 at any stage you like to make this question work for you okay and then do the multiplication or what's more instead of dividing by 100 you could do the same which is dividing by 10 and dividing by 10 because 10 * 10 is equal to 100 it can make the question really simple so let me show you what I mean by this 61% of 80 what we're going to do to start off with is we're going to work at this percentage part by dividing by 10 two times and we're going to do it across our equation first off we have 80 and we're going to divide this by 10 80 / 10 this is equal to 8 then over here to finish off the percent part we're going to be dividing 61 also by 10 61 / 10 this is equal to 6.1 and now we do the multiplication we have 6 * 8 this is 48 and to that we're going to add well 0.1 multip by 8 this is 0.8 this gives us our answer 48 + 0.8 our answer a 48.8 so that's a really Champion move right for working at percentages in your head so let's have a look at a few examples we have 3% of 400 a nice easy one to start off the next one we're going to have is we have 80% of 70 cool let's see what that is next 24% of 60 and then finally we have 133% of 1,200 so all these can be made a whole bunch simpler by dividing by 100 first or dividing by 10 and dividing by 10 what about you pause the video and give this a go or even better do it in real time with me right now yeah let's do this okay so 3% of 400 the easiest way we're going to approach this is we're going to divide by 100 first and we're going to divide 400 by 100 doing that we get rid of those two zeros there so we're left with 3 multi by 4 3 MTI by 4 this is really simple 3 * 4 is equal to 12 3% of 400 is equal to 12 next we have 80% of 70 so rather than dividing by 100 this time we're going to divide by 10 and divide by 10 if we do this we get the following 80 / 10 is 8 and 70 / 10 is 7 we're left with 8 multip by 7 well 78 that's 56 so our answer is 56 80% of 70 56 all right now we have 24% of 60 all right this time I'm going to divide by 10 and divide by 10 so divide 60 by 10 that's pretty simple we get 6 divide 24 by 10 well we're just going to be moving the decimal place one time we get 2.4 so now what we're left with is 2.4 * 6 so 2 * 6 is equal to 12 and4 * 6 is equal to 2.4 we have 12 + 2.4 our answer is 14.4 how did you go with that one all right finally we have 133% of 1,200 now this one really obvious it's a bit of a no-brainer you can never be dividing by 100 and it is this 1,200 we're going to divide by 100 to get 12 so we're left with 13 multili by 12 13 multili by 12 this is equal to 156 really simple so that is the easiest way of working at percentages in your head is to divide by 100 or divide by 10 divide by 10 and make your problem so much simpler let me know what you think of this in the comments if you like it please give me a lovely comment if you don't like it well you know maybe something not as lovely if you do like this video also remember hit the like button and subscribe big shout out to my patrons if you wish to support the techmath channel there is a link in the description below it's always well appreciated and thank you so much for watching we'll see you next time bye