1.07 is what percent of 1.63 - 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 1.63 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 1.63, so we can write it down as 100%=1.63.
4. We know, that x% equals 1.07 of the output value, so we can write it down as x%=1.07.
5. Now we have two simple equations:
1) 100%=1.63
2) x%=1.07
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%=1.63/1.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.07 is what percent of 1.63

100%/x%=1.63/1.07
(100/x)*x=(1.63/1.07)*x       - we multiply both sides of the equation by x
100=1.5233644859813*x       - we divide both sides of the equation by (1.5233644859813) to get x
100/1.5233644859813=x
65.644171779141=x
x=65.644171779141

now we have:
1.07 is 65.644171779141% of 1.63