5.21 is what percent of 698.45 - step by step solution

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

1. We assume, that the number 698.45 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 698.45, so we can write it down as 100%=698.45.
4. We know, that x% equals 5.21 of the output value, so we can write it down as x%=5.21.
5. Now we have two simple equations:
1) 100%=698.45
2) x%=5.21
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%=698.45/5.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.21 is what percent of 698.45

100%/x%=698.45/5.21
(100/x)*x=(698.45/5.21)*x       - we multiply both sides of the equation by x
100=134.05950095969*x       - we divide both sides of the equation by (134.05950095969) to get x
100/134.05950095969=x
0.74593743288711=x
x=0.74593743288711

now we have:
5.21 is 0.74593743288711% of 698.45