157.55 is what percent of 690.35 - 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 690.35 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 690.35, so we can write it down as 100%=690.35.
4. We know, that x% equals 157.55 of the output value, so we can write it down as x%=157.55.
5. Now we have two simple equations:
1) 100%=690.35
2) x%=157.55
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%=690.35/157.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.55 is what percent of 690.35

100%/x%=690.35/157.55
(100/x)*x=(690.35/157.55)*x       - we multiply both sides of the equation by x
100=4.3817835607744*x       - we divide both sides of the equation by (4.3817835607744) to get x
100/4.3817835607744=x
22.821757079742=x
x=22.821757079742

now we have:
157.55 is 22.821757079742% of 690.35