35.99 is what percent of 51.98 - 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 51.98 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 51.98, so we can write it down as 100%=51.98.
4. We know, that x% equals 35.99 of the output value, so we can write it down as x%=35.99.
5. Now we have two simple equations:
1) 100%=51.98
2) x%=35.99
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%=51.98/35.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.99 is what percent of 51.98

100%/x%=51.98/35.99
(100/x)*x=(51.98/35.99)*x       - we multiply both sides of the equation by x
100=1.4442900805779*x       - we divide both sides of the equation by (1.4442900805779) to get x
100/1.4442900805779=x
69.238168526356=x
x=69.238168526356

now we have:
35.99 is 69.238168526356% of 51.98