Question

What percent is 3450 out of 5177? Please explain how to solve.

Answer 1

Hello!

To get the solution, we are looking for, we need to point out what we know. 

1. We assume, that the number 5177 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 5177, so we can write it down as 100%=5177. 
4. We know, that x% equals 3450 of the output value, so we can write it down as x%=3450. 
5. Now we have two simple equations:
1) 100%=5177
2) x%=3450
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%=5177/3450
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3450 is what percent of 5177

100%/x%=5177/3450
(100/x)*x=(5177/3450)*x       - we multiply both sides of the equation by x
100=1.5005797101449*x       - we divide both sides of the equation by (1.5005797101449) to get x
100/1.5005797101449=x 
66.640911724937=x 
x=66.640911724937

now we have: 
3450 is 66.640911724937% of 5177


Hope this helps! Have A Wonderful Day! ☺