151.77 is what percent of 718.75 - 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 718.75 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 718.75, so we can write it down as 100%=718.75.
4. We know, that x% equals 151.77 of the output value, so we can write it down as x%=151.77.
5. Now we have two simple equations:
1) 100%=718.75
2) x%=151.77
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%=718.75/151.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 151.77 is what percent of 718.75

100%/x%=718.75/151.77
(100/x)*x=(718.75/151.77)*x       - we multiply both sides of the equation by x
100=4.7357844106213*x       - we divide both sides of the equation by (4.7357844106213) to get x
100/4.7357844106213=x
21.115826086957=x
x=21.115826086957

now we have:
151.77 is 21.115826086957% of 718.75