If 62.5% of a number is 312.5. Find the number
Answers
Answer:
. We assume, that the number 312.5 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 312.5 is 100%, so we can write it down as 312.5=100%.
4. We know, that x is 62.5% of the output value, so we can write it down as x=62.5%.
5. Now we have two simple equations:
1) 312.5=100%
2) x=62.5%
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:
312.5/x=100%/62.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 62.5% of 312.5
312.5/x=100/62.5
(312.5/x)*x=(100/62.5)*x - we multiply both sides of the equation by x
312.5=1.6*x - we divide both sides of the equation by (1.6) to get x
312.5/1.6=x
195.3125=x
x=195.3125
now we have:
62.5% of 312.5=195.3125